{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Python for Finance"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Analyze Big Financial Data**\n",
    "\n",
    "O'Reilly (2014)\n",
    "\n",
    "Yves Hilpisch"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img style=\"border:0px solid grey;\" src=\"http://hilpisch.com/python_for_finance.png\" alt=\"Python for Finance\" width=\"30%\" align=\"left\" border=\"0\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Buy the book ** |\n",
    "<a href='http://shop.oreilly.com/product/0636920032441.do' target='_blank'>O'Reilly</a> |\n",
    "<a href='http://www.amazon.com/Yves-Hilpisch/e/B00JCYHHJM' target='_blank'>Amazon</a>\n",
    "\n",
    "**All book codes & IPYNBs** |\n",
    "<a href=\"http://oreilly.quant-platform.com\">http://oreilly.quant-platform.com</a>\n",
    "\n",
    "**The Python Quants GmbH** | <a href='http://tpq.io' target='_blank'>http://tpq.io</a>\n",
    "\n",
    "**Contact us** | <a href='mailto:pff@tpq.io'>pff@tpq.io</a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Data Visualization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pylab import plt\n",
    "plt.style.use('seaborn')\n",
    "import matplotlib as mpl\n",
    "mpl.rcParams['font.family'] = 'serif'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Two-Dimensional Plotting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "uuid": "1b8fb946-2573-442e-ab40-cc416f703b35"
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### One-Dimensional Data Set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "uuid": "033038bb-7b63-42c8-aa0e-a9b01df1a656"
   },
   "outputs": [],
   "source": [
    "np.random.seed(1000)\n",
    "y = np.random.standard_normal(20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "uuid": "86f4eb1d-a2e0-4573-b456-636756320573"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x110382fd0>]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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oUuEbvzaLIycu89ypcXZ1+3nwtu1rXvvue3dz3c5mjl+Y5BuPr773JdviUpyB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\nFvG/AUd81Eq7FA4tAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x107ea07f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = range(len(y))\n",
    "plt.plot(x, y)\n",
    "# tag: matplotlib_0\n",
    "# title: Plot given x- and y-values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "uuid": "dfe5ea13-bb4e-4158-85e1-d391b38ce53e"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x11047f5c0>]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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oUuEbvzaLIycu89ypcXZ1+3nwtu1rXvvue3dz3c5mjl+Y5BuPr773JdviUpyB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\nFvG/AUd81Eq7FA4tAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x106031b70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(y)\n",
    "# tag: matplotlib_1\n",
    "# title: Plot given data as 1d-array"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "uuid": "8ce3f781-2188-43da-86a0-866bb28bdfa2"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1104e6ac8>]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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UymIoCWu2GvhzqSlxYhhwvS0+s4hTKuH/5GAt/cMTfODeqkW9SELES7rDSkFO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\nIQlfCCFShCR8IYRIEZLwhRAiRfz/OI35E04W33IAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1103be198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(y.cumsum())\n",
    "# tag: matplotlib_2\n",
    "# title: Plot given a 1d-array with method attached"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "uuid": "bb30a215-06d6-498f-815a-0f90c3ec5e3e"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-0.95000000000000007,\n",
       " 19.949999999999999,\n",
       " -2.3228186637490449,\n",
       " 0.56550858086558653)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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UymIoCWu2GvhzqSlxYhhwvS0+s4hTKuH/5GAt/cMTfODeqkW9SELES7rDSkFO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\nIQlfCCFShCR8IYRIEZLwhRAiRfz/OI35E04W33IAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1104c11d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(y.cumsum())\n",
    "plt.grid(True)  # adds a grid\n",
    "plt.axis('tight')  # adjusts the axis ranges\n",
    "# tag: matplotlib_3_a\n",
    "# title: Plot with grid and tight axes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "uuid": "46c40470-43b9-41b2-a299-60bdcb535d4b"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-3.1915310617211072, 1.4342209788376488)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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evi6LJekxHK5s450zrq9Fu+tQI529w9y8JpNkF6dvumJjaRqrtCSqzvfw8jv1lx8/pmwT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\nEMJkJPiFEMJk/hd4h5jrKRuMegAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1105e25c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(y.cumsum())\n",
    "plt.grid(True)\n",
    "plt.xlim(-1, 20)\n",
    "plt.ylim(np.min(y.cumsum()) - 1,\n",
    "         np.max(y.cumsum()) + 1)\n",
    "# tag: matplotlib_3_b\n",
    "# title: Plot with custom axes limits"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "uuid": "a49d4a75-3e67-4e73-96b1-9db889127a62"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,1,'A Simple Plot')"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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rBsv8BXhba/2SUmoY8Ffg8gj7zdRa3xvXyKKkpjlUTr2J445rQZs2Bm3bBmjb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\n/weveOYSm22H9wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110637dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(7, 4))\n",
    "  # the figsize parameter defines the\n",
    "  # size of the figure in (width, height)\n",
    "plt.plot(y.cumsum(), 'b', lw=1.5)\n",
    "plt.plot(y.cumsum(), 'ro')\n",
    "plt.grid(True)\n",
    "plt.axis('tight')\n",
    "plt.xlabel('index')\n",
    "plt.ylabel('value')\n",
    "plt.title('A Simple Plot')\n",
    "# tag: matplotlib_4\n",
    "# title: Plot with typical labels"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Two-Dimensional Data Set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "uuid": "f59132a2-1eda-49da-8efa-4a49e4e8a670"
   },
   "outputs": [],
   "source": [
    "np.random.seed(2000)\n",
    "y = np.random.standard_normal((20, 2)).cumsum(axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "uuid": "f9b54053-7cbc-49f3-a558-700356d9b3af"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,1,'A Simple Plot')"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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u3/3z/biCA43ERYcQEexPSlwY0eGBxEQEER0eSM3niuDc7Ebl7ItO4b3FWVw6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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1107a8710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(7, 4))\n",
    "plt.plot(y, lw=1.5)\n",
    "  # plots two lines\n",
    "plt.plot(y, 'ro')\n",
    "  # plots two dotted lines\n",
    "plt.grid(True)\n",
    "plt.axis('tight')\n",
    "plt.xlabel('index')\n",
    "plt.ylabel('value')\n",
    "plt.title('A Simple Plot')\n",
    "# tag: matplotlib_5\n",
    "# title: Plot with two data sets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "uuid": "7e085a23-dd6c-4709-a616-9eb1728447c6"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,1,'A Simple Plot')"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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Rv13Tqw+Fq9a0qMzz7eogNT8hWqisopp5C3ewK/skV49M5ppRKW6/HVBL+fuauG1iGi9+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\n8jMzs9px8jMzs9r5G01cJeQOppzhAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1107d87b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(7, 4))\n",
    "plt.plot(y[:, 0], lw=1.5, label='1st')\n",
    "plt.plot(y[:, 1], lw=1.5, label='2nd')\n",
    "plt.plot(y, 'ro')\n",
    "plt.grid(True)\n",
    "plt.legend(loc=0)\n",
    "plt.axis('tight')\n",
    "plt.xlabel('index')\n",
    "plt.ylabel('value')\n",
    "plt.title('A Simple Plot')\n",
    "# tag: matplotlib_6\n",
    "# title: Plot with labeled data sets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "uuid": "4586bd90-1e5b-4de4-8671-449b82cb53c7"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,1,'A Simple Plot')"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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dqO9kS3kTF66YG7TrRIsL0tl3uCPmilxH4nwfhCn5KaUuBS4CbgbylFKrgKeB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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1109855c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "y[:, 0] = y[:, 0] * 100\n",
    "plt.figure(figsize=(7, 4))\n",
    "plt.plot(y[:, 0], lw=1.5, label='1st')\n",
    "plt.plot(y[:, 1], lw=1.5, label='2nd')\n",
    "plt.plot(y, 'ro')\n",
    "plt.grid(True)\n",
    "plt.legend(loc=0)\n",
    "plt.axis('tight')\n",
    "plt.xlabel('index')\n",
    "plt.ylabel('value')\n",
    "plt.title('A Simple Plot')\n",
    "# tag: matplotlib_7\n",
    "# title: Plot with two differently scaled data sets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "uuid": "6a47906a-7ef2-4a16-b076-ca870744e158"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0,0.5,'value 2nd')"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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COxQKb1C/lgAzqMVgakTXVAEeVRC7HZYuNdK9u4Vq1TzbJyPDqpSYQuEF6tcSYGJNsQwT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\nmKyhTWqqjXPndBw9qgoB+8Lq1QYOHNB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tZn5Q7ceMjYnl8lY9WL59KTaHzKuJFpLEKiGD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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110a87f98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax1 = plt.subplots()\n",
    "plt.plot(y[:, 0], 'b', lw=1.5, label='1st')\n",
    "plt.plot(y[:, 0], 'ro')\n",
    "plt.grid(True)\n",
    "plt.legend(loc=8)\n",
    "plt.axis('tight')\n",
    "plt.xlabel('index')\n",
    "plt.ylabel('value 1st')\n",
    "plt.title('A Simple Plot')\n",
    "ax2 = ax1.twinx()\n",
    "plt.plot(y[:, 1], 'g', lw=1.5, label='2nd')\n",
    "plt.plot(y[:, 1], 'ro')\n",
    "plt.legend(loc=0)\n",
    "plt.ylabel('value 2nd')\n",
    "# tag: matplotlib_8\n",
    "# title: Plot with two data sets and two y-axes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "uuid": "988b6e09-b849-4f37-939e-5922c0ace8f6"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0,0.5,'value')"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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a1cfylk7twmkXGcqG1CzGDZIZU3xN6sE83v5a07uLmWtcvNRU++jWHh+SLxpv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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110bc35f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(7, 5))\n",
    "plt.subplot(211)\n",
    "plt.plot(y[:, 0], lw=1.5, label='1st')\n",
    "plt.plot(y[:, 0], 'ro')\n",
    "plt.grid(True)\n",
    "plt.legend(loc=0)\n",
    "plt.axis('tight')\n",
    "plt.ylabel('value')\n",
    "plt.title('A Simple Plot')\n",
    "plt.subplot(212)\n",
    "plt.plot(y[:, 1], 'g', lw=1.5, label='2nd')\n",
    "plt.plot(y[:, 1], 'ro')\n",
    "plt.grid(True)\n",
    "plt.legend(loc=0)\n",
    "plt.axis('tight')\n",
    "plt.xlabel('index')\n",
    "plt.ylabel('value')\n",
    "# tag: matplotlib_9\n",
    "# title: Plot with two sub-plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "uuid": "1f78f7fe-b24b-4304-92c5-01d34d43c90f"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,1,'2nd Data Set')"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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ErlDVb4x7+k/A1ZGv24Hxd3Z35FhcySwtno9dcZBf7RoeCdB0wMebX7OYjg4/3upSnt/d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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110d0f4a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(9, 4))\n",
    "plt.subplot(121)\n",
    "plt.plot(y[:, 0], lw=1.5, label='1st')\n",
    "plt.plot(y[:, 0], 'ro')\n",
    "plt.grid(True)\n",
    "plt.legend(loc=0)\n",
    "plt.axis('tight')\n",
    "plt.xlabel('index')\n",
    "plt.ylabel('value')\n",
    "plt.title('1st Data Set')\n",
    "plt.subplot(122)\n",
    "plt.bar(np.arange(len(y)), y[:, 1], width=0.5,\n",
    "        color='g', label='2nd')\n",
    "plt.grid(True)\n",
    "plt.legend(loc=0)\n",
    "plt.axis('tight')\n",
    "plt.xlabel('index')\n",
    "plt.title('2nd Data Set')\n",
    "# tag: matplotlib_10\n",
    "# title: Plot combining line/point sub-plot with bar sub-plot\n",
    "# size: 80"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Other Plot Styles"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "uuid": "25aea2f5-5e26-4d01-9660-0eac2a9eaf7c"
   },
   "outputs": [],
   "source": [
    "y = np.random.standard_normal((1000, 2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "uuid": "22e55805-f571-4f38-8b53-b1fd216a4b95"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,1,'Scatter Plot')"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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OatU3TGs83tXn3/tdOjnWLq2oW6lbg3SyvSrEPE7yNlX1QyeUnwzW8Xo9QGuX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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110aa64e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(7, 5))\n",
    "plt.plot(y[:, 0], y[:, 1], 'ro')\n",
    "plt.grid(True)\n",
    "plt.xlabel('1st')\n",
    "plt.ylabel('2nd')\n",
    "plt.title('Scatter Plot')\n",
    "# tag: matplotlib_11_a\n",
    "# title: Scatter plot via +plot+ function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "uuid": "dcb44778-f3b8-4fae-95cb-4cf6d1fec624"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,1,'Scatter Plot')"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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YdOhqb5IsI5ZPejpuaJFS98JuZbCyoykp6jQzkVxJ6bRkP5rUgi68V2IpCdUa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\nIAiCqElIwBEEQRA1CQk4giAIoib5/4LHodDbxMNXAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110637588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(7, 5))\n",
    "plt.scatter(y[:, 0], y[:, 1], marker='o')\n",
    "plt.grid(True)\n",
    "plt.xlabel('1st')\n",
    "plt.ylabel('2nd')\n",
    "plt.title('Scatter Plot')\n",
    "# tag: matplotlib_11_b\n",
    "# title: Scatter plot via +scatter+ function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "uuid": "bc89c721-ef4f-45c5-a713-ae74134d4ab7"
   },
   "outputs": [],
   "source": [
    "c = np.random.randint(0, 10, len(y))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "uuid": "9fcd1af6-f018-4f1b-a2e8-51a6f2cf415e"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,1,'Scatter Plot')"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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MJjRNo76+kq6ujsA2XV3tOBxdpKWNO2ehmTgxm8TEJOrr64KWGwxGGhoa2bVrO4sWLcRu\nt+PxeNA0rWeuZilmswWPB/x+uP76VRQXq7S3twUdJz9/HmPHjj8n2/rbYrXG4PV60DQvkiQjy6Gt\no4eLuLh4kpNTqKysCFmXkpJCWlraRbFDcGkh5mQEo4Z9+3YHCUwvFRVlgdDgrq72IIHppbu7k46O\n0PyPoVBWdoof/eh7AYHRNA2/34/dbqeqqpJNmzbwH//xVZqa6nC5XPj9fjRNw+v10tXVhdvtovdl\nbcqUqXzpS19l9uy5pKenM3HiJG699d945JEvnZNtpyNJEiaTGbM5ApPJfFF/wDabjRUrrg+7btmy\nFcTFxV80WwSXDsJdJhg1VFdXDbKuGiAkN6U/Dkc3sbEJZ33eN998jdra6sDn9vZ2Ghsb0TQtsGzs\n2LEDzjc4nU4iIvoSIqdMmcaUKdPO2o4zUVlZQWNjA1OnTsdiGVoC5oXmpz99GqfTyQcfbKC5uYm4\nuHhWrLiep5/+9YjYIxj9CHeZYNRgNpvOaV0v5/Ly09nZwYkTatAyh8MRJDAAM2fORJbDf039fj++\nYexxVlpaymOPfZGdO7fR3d1NdnYO9933AI8//tXhO+kAmM1mfve7Z6ivr+fo0UPk5k4hI2PMRbdD\nIDhbhMgImD59FgcOFODxBLc9NplMTJumT5pHRkbT2RneLRYRET2k87S2ttDW1oTJZCYiIioQLWWz\n2RgzZgw5OTlUVVVRUlISSKisqKjA4/GERJTpDN+bmqZpPPDAA2zbti2w7OTJYp566qckJiZz9933\nDNu5ByM1NZXU1PCuM4GgP6NlTkaIjICsrAksXbqcHTu24nDYAbDZIliwYHEgWz4yMpqYmPiQ+Zfo\n6DiiomIHPb7f7+fw4UKamhrQNF1YIiIimTkzj2PHjjJ58mQsFgsfffQRZWVlQaG6BQUFPWG6oRFi\nRuOZR1mD0dLSxPHjR3E6nURFRTN16kwiI/WIsfXr32XHjh0h+7hcLt5+e82IiYxAMFSEu0wwqrjm\nmhXMnDmbAwcKAY2ZM2cTH983zyJJEsnJGURGxtDdrQcAREREExkZfcY3piNHjtDYGBw9Zrd3M2PG\ndDweFzabjQMHDnDqVGjwAcCWLduYPXtOvxBiA7JsxmTqy3JvbW3h+PEjuFxOoqNjmTp1ZlD49emc\nPFnMzp1bcDodgWVlZadYvnwlSUnJFBcXk5SURFRUFA6Hg7q6uoArr6GhYdDrFQhGA2IkIxh1xMXF\nc+21KwZcL0kSkZG6sJwN9fXhEy59Pi/jxo2jra2NmpqaAfdPTx+DzRaLz+dF03whSZAnTxaza9cW\nHI4+wSgtPcmKFTcGCWUvfr+fQ4cKggQGoKOjjcLCPcybt4jKyjJmzpyJwWBA0zTGjRvH4cOHsdvt\njBmTeVbXLxCMBEJkBFcMgyULyrIZAN8gM/hut16VWc+8D/7K+v1+DhzYFyQwAG1tLRQW7mHFihtD\njldfX0tzc/gqAE1N9bz00vPU19cG3A2SJBEXF0dubi7FxcXcc8/9A9o6mrBaTZjNRkDC5/Nht3tC\nAiuGm7q6aoqLVVwuF7GxsUyfPkvUWbtIDJe7TFGULOBDoLJnUQxwSFXVh8JtL0RGMOzExsbS0RGa\nYyPLMjExMTQ1NZCVlUVdXV3INlarjSVLrhnw2NXVlbS2Nodd19Cgu7hOf6Mb7A3P4/Fy/PixsOsS\nE5O4++77wpbtH21ERlqw2fonjMqYTDLt7aERfMPF0aOH2LdvZ1BASXl5Gdddt0rk9lwEhnEk0wn8\nu6qqmwAURfkx8MFAGwuREQw7iqLQ2NiI0xlcMj81dQxjx45n4cIFGAwSjz32GMePHw+slySJlStv\nZMqUqRfUntTUdBITk8KOZhITkwIjp9MxGCSuuWbZBbVluLBaQysSmExGHI52LJYzz6OdLx6Ph8OH\nD4RELLa1tbB//17RZO0iMFwjGVVVm4FegbEA+aqq/nCg7UdMZBRFyQZ+ChQCmUCzqqo/GSl7Rpq6\nulree+8dKirKMZvNTJkyjVtu+fQlUfiw10RN00u8nE5iYiLTp+dTWVlKd3cXsiyTlJRKZuZ4oqOt\n2Gy6y+yFF17g2Wef5dixY1gsVubOXcC//dtdg557zJixxMcnhh3NpKSkhn2YSpLErFnz2LHjk6Ak\n07i4eBYuXEpBQQElJSdC9svMHHveJWouFgZDeBFxu52sX/8vbrvtzmEVmtLSkrAVIkB3SZpM+gPQ\n47kwjeUEoVykOZl7gFcH22AkRzIJwGuqqr4DoChKkaIo76mqWjCCNo0IDQ0N/PrXT1NT05f9fvx4\nEdXVVTzxxNdH0LLBkSQwmaD/C5PfD+Ha2UdHxzBlSmgYssnUJ6IpKSl8//vfB/Q8laqqOhoaajAY\nDMTExGOxhEaLGQwG8vJms3PnNpxOBx6Ph40bN1JeXo7RKDN9+st84QtPMG/egqD9srImkpiYSFHR\nEZxOB9HRMUybNhOz2cINN6ympqY6SIDMZgvLll03YGLopYLH4+HgwUKmTZtJTo4ybOcZ7C3aaJSJ\njY1AkiQ8Hh8OhxuXSxT5vNBcJJG5E7h1sA1G7Bejqure0xYZgIFrl1zGvP/+O0EC00tBwR6Kio4M\nS6mUC4EsBwsM6J9lGYZaGHig34EkSTgcnYEE0M7ONhITU2lsbObdd9fR3d2Nokzm1ls/TXa2QkJC\nMkVFh/npT39CQUHfV6u8vIz9+wt58cVXmDEjL+gc0dGxzJ+/OOTcCxcuJioqkp07t1BTU0tsbDyL\nFy8NEarRjM/nCzsKVlUVv9/PiRPHhlVkJkyYxP79e0MKlgKMGZMReACaTEYMBgte7zCWbrhCGe48\nGUVRlgE7VFX1DLbdqHgtUxTldmCDqqrHz7jxZUhVVWXY5V6vl6NHD41KkZGkUIHp5Wy+216vP+zD\n0Ol00tbW94Dy+328/vpLvPHGG3R2dvYsfZtNmzbwv//7W+LjE/B6/Rw+fDDkWNXVVTz77DP84Q9/\nHrJd06fnsXz51TQ2dp5541GI3e5GknyBJm8ej4dDhw6xceNGgGHvg2M0Gpk1ay67d28LivxLT0/n\n2muvPW1bQ8BlKrhwXISRzGPAl8+00YiLTI8aLgO+dqZt4+MjkOXzn6NITj67PI/hJiYmfLdHgMTE\nOGw2iQ0bNlBXV4fBYGDs2LEsWbJkRF03Ho8nZCK/F6NRIikpMuhLfjb33O/309DQEBTW3NXVxdtv\nv91PYHT27y/gpZee47/+6784cqQQdzhfHVBZWXZGG+rr6ykoKCA2Npb58+eftd0XG5/PR0tLC7Is\nExcXF3S/ZRl2795HR0cHFosFVVU5dkyPmjOZTCxZsmDYry05OZ/c3Gz279+P0+kkKSmJWbNmhS0R\n1Csyo/l+n4nRZvtwj2RUVf3sULYbUZFRFOUm4Grgq0C6oijjVVXdOdD2ra328z5ncnL0qHs7zc2d\nzt69p3sPISEhkZkz5/LKK68GRUJVVVVRWVnNypWfGtGEK7M5/KjF69Voauprh3ymey7LBqxWM7Is\n4fdr1NZWU1tbG7TN1q1baWlpCbv/7t17aWzsxGaLGfAcERFRA9rg8/l44YU/U1VVGRC2d975Bw8+\n+AApKeMGPOZIoI8gDTQ11dPe3oLXq3sqLBYriYlpREREkZwcjcvlZdasWbzyyiscPnwYTdM4duwY\nJSUl+Hw+CgsPcMcdd3HvvQ8Ms8Uy06fPBXQhCV+DDrq7XURGWkbdb3OoXKjnyoUUqtGSjDlixW0U\nRZkDvA4sAD4C3gGGz0k8irn++htZseIGrFYrmqbR2tpKY2MjbW3t/Pa3/xt2vqaqqoJTp4pHwNo+\nvF49oqw/fv/Q52P6juOnq8tJW5uDjg4n3d2hI6RwrYf7r2tra2XChAmMHRsqCrIss2rVwLktr7/+\nf5SXlwWNnDo7O3jxxRcHHBkNJz6ft6e6QfDNjYqyEB8fSUJCJOPGZTBmTEZgncvlpLGxJnCfNE0X\no3vvvZd7772XtrY2duzYQXV1NXV1dWzfvpX//M9v8swzf7ho1+V0uvF4QudevF4fDsegbn3BOWAw\nGM7p34VmJCf+C4CB/URXEJIk8dBDj7J8+fX88IffpbGxEYDW1laOHy8iJSWFG2+8MaSXSX19LdnZ\nV42EyUBfJJnRqL9ha9rZC0w44uNTcDrtQfkqixYt5v333w+ap+klOjqK//f/fovdbmfWrDzcbneg\nEVpycgp33XUP99//UNhzud2uAVsbd3Z2UlCwh4ULl5z3NQ0Fn8+D220P1GgzGIzIsg2TyUJ0tAWr\ntW/ewmq1kpGRgd/vp7JSn9PzeNy0t7eQmhqLz9f7d5GYMmUKhw4dCslZcblcvPbaSzz66BfOyvWq\naRpOp73HjoghvzFrGnR0OIiMtASFMNvtroteieBKYLSMZEZ8TkbQR2VlZUiPFdBDnA8fPkx+fn7Q\nclk+vyrEF4ILJSz9MZlMZGRMoL29GZfLwXPPPcfmzR/S0tKC1RostGPHjiMyMoL29nYkSSIjI4Nb\nb72FpqYm5sxZwK23fpqUlJQBz9Xa2jpo2ZvOzvC5HhcaTfPjcnUFqlSDHuzgdndjNBoxmSLD7peQ\nkBAQGdBHQfrxwOPR52YqKytR1dDvFUBx8QmqqirJypowJDu7utppaWnE7dZHm2azlYSEJKKi4oa0\nv9+v0dkZfi5PcGERIiMIYc+enQM+8JqagrPTLRYrijLlYpg1IsiyTGJiKj//+X/zxz/+PuAGslqt\nREdHoyiTWb36ZkpKitm4cT1NTU0YDAbS0tJYsGABKSkpTJs2dVCBAb3kjdVqHdAtNmlSznlfi8/n\nY8uWjzhx4jiyLJOfPx9FmUxXVydxcXHIsgmPxxkkMH1oeL0ujMZgN4bb7Wbfvn00NjbS3t5Oamoq\nMTExQblEvSPNyMh44uMTaGpqDDl6XFw88fFDK/Hi8bhobKwNCJluh5PGxlpMJmvYPCaBQIjMKMJs\nHjiMs/+EaUREBLNmzSM2dmhvj5cqTqeTdevWBs3HOJ1OnE4ncXHxzJu3gKee+mlQXbRTp07R2dnJ\nbbfdht1+5kARq9VGbu4UCgr2hhTpzMzMZOLE8CLj83lpa2vG7dYFIDo6HpstdLTh9Xr4zW9+wcGD\n+wPLPv54M1arBa/XS0pKKvPnL+amm0ILefbi9/vw+fwBoenq6mLNmjVBtd5qa2tRlMlkZ4eW4ImJ\niWPJkqWsW7c2ZF1sbBy7d+/i+utXnvHNt729JUhg+u6Fj/b2FlJSMsLsJRgpxEhGEMKqVZ/irbfe\npKsrNErlrrvuYvz4bIxGI1ddNfmKqGRbXV1JaWn4HjNlZaU888zvwxbebGxsRFVVPve5fwf0OYSy\nslN0dnaQmzs1RMw/9albufrqJXR2dlBYWMjvfvc7GhsbSUpK4vjxYp588jukp/c9QD0eD7W15QGX\nEUBnZzuJianExSUFHXv9+neDBEZHC4R/19RUs27dGiZOzCInZ2LYa9U0+Mtf/srBg/uRJImrrroq\npOq03+/n+PEi8vMXhj3G00//ko6ODrZt2xKY67LZbLjdTn74w+9y8OB+nnzyO2H37WWwStl+v0im\nHG0IkRGEMHFiNg8++Hn+/ve/BeYCzGYz119/I4888khQWPClTFnZKf7+9xcoKTmB1WolP38eDz/8\naMgcU1JSMikpqTQ0hPajSU5OCXEh9kfTJLKzczh16iSvvPIiJSUn8Pl8pKamsXz5Daxe/SmgNwzb\nSGpqCtHRUTz66KMcOnQI0EcHhw8f5tChg6xb9x5RUXp4aWtrfZDA6OfTaG1tJiYmHoOhL5eruDj8\nXMjp+65b9zbf+taTIS4zSZL4/e9/x9q1awLLIiMjSUgI7ZOjaRobN77Pww8/GLIuPj6B115by3e/\n+y3eeusNLBZLoKmb3+/j3XfXsWrVzUybNn1AOwebAzQaDXg8DoxGc9D1C0YOITKCsDzwwOe45ppl\nvP/+P/B4PCxevJQ5c+aOmi/M+VJRUc6TT36NiorywLKDB/dTVlbKz372i6BtY2PjWLZsOa+/Hlp/\nb9my6/B4Bg4vXrJkKV6vl7/85Y9BFRXq6+tYu/Y1kpKSWLhwYVCez7PPPktBQWjpvEOHDvDss8/w\njW98CyCk2VkvPp+Hzs42YmMTA8uGGjXV2NiAyRSBJHnxeNxomobFYqGwsDBIYIABc00AmpoG79rZ\n3d1JbGxou2yn08nHH384qMhor+JXAAAgAElEQVTExibS1dUect+NRiMWiwm32w44kGUzZnPkZfOd\nvVQZLfdfiMwoZPz4LL74xa+MtBnDwssvvxgkML1s3fox+/btIT9/XtDyX/3qdzz++JeQZZnKygre\neecdXC4vP//5L9i3by8bNrxPe3t70D7Z2dk88si/88knm8OW7HG73ezcuY3Fi4NdS/3bDJzO0Cse\nBf+wFUXpaWkdjCzLQUEe0dFRWCwyiYlJAbeU0Whk06ZNIft2dHQQHR2atOfxeDAYBv9JD5YHcaYc\nCVmWSUsbS0tLI06nHU3TMJtNREZG9isNpAcqSJIBszli0OMJhpfRIjIjlowpuDIZaI5Fj5baE7TM\nYNATEPPyZjJt2lRWrVrFH//4J/78579itVpZsuRqfvSjnzF5sj7ZbTKZmDdvAb/+9Z+Ijo6hpSV8\nMzPQH9SnDzJ663yFIyamr5qA1Rr+4SnLMtHRwaOEW275FHl5wYU5jUYj1157LRERfce56qqrKClR\nKS4uxmAwBB7a4eq6FRQUhJT08fl8dHR0kJExeGvovLw5YZdHRkZx4403DbovgMViIz19HFlZV5GZ\nOZ74+PiwASs+n0iuHGkkSTqnfxcaMZIRDDs+n4/Ozg6sVhuRkeHzPSD0Id+b5Bm8TH8v6g04u/fe\n+7nrrs9SULCXiIhIpk2bHvihjB+fNeC5kpNT8Pv1SfXec9x///28/vrrISOj6OhoPvOZuwOfExJS\ncLmcuFx9bjODwUh8fHLQfITeCsHEt7/9bTZv3oyqqsiyzNy5c8nLy6O6upqurq6ekGwFv99PU1MT\np06doqWlhauuuorly5ezbt26oEn3+vp6Dh48iKIoyLKMpml0dXWRlJQ8aBfR3vt15MhBtm79JODK\ns1ptfPaz9zFxYvag+/bnzAU2RXLlSDPctcuGihAZwbChaRqffPIhx44dpqmpCYvFitFoQJKkkLmK\n9PQMbrvtjsDnwas8a/R3S8myzPz5oVFVc+cuIDd3CsePFwUtj42NY8WKG/D76ZcZDzNnzuSHP/wR\nv/71r6msrABgzJhMvvSlLzN3bl+Zf1k2MWaMnizqdruQJKknhDl4hKNp+j9Zlrnhhhu44Ya+bpC1\ntbW43W5kWcbhcLBlyxaWLFlCeno6brebLVu2sHXrVmbMmMGdd97JW2+9FcjlMZvNTJgwgblz51JW\nVobX60VRclm69PpBR2O9tj/99K/54IP1FBYWYjabuP76VcyYEdrr50wYjWY8nvDzU5IkJv9HmtHi\nLhMicxljscj4/VrYelGn43I5qawsxeFwYDabSU8fS0xM6ATx2bB160d89NEHAUHxeDxERNiYPHky\nRUV9D/7MzLE88cTXgh6Qg82XO51O6upag8KKw2EwGPjKV77Jq6/+nWPHinC73YwbN54bb7w50EvF\n69WFplfQ7rvv89x222dYu3YNEREmbrzxVqKjQwtvGgwGPB4/H3/8MVVVFWiafh3Lll1PampaYDuf\nTxew/r93j8dDQUFBUP6Pw+GgqKiI9PT0wMS+pmkcPHiQ1atvZsmS5T330sfixYuZNWsWQKAKhMEg\nY7MNrUqTwWBg5cqbWLnyzO6xwTAaZYxGMz7f6QEYEiaTSMwcaYTICIYNq9VERIQp4M/3eHx0d7sG\nFJvOzg6OHNmPw9HXM66+vpacnMmkpw/u4x8Iv1/v7RIuuiolJYXi4mI8Hg+Kksuzz74QNu/H7+9r\n7dyfyspKDh8u4qabbgtZt2XLx6xf/y4tLc2kpaVz++138NhjT+Dz+fD5fGHnDzRNF4NeoqKiefDB\nhwetrOtw2HnjjZeCwquLitpoaKjj4Ye/GBBMn08/vn4dPsrLy9m/fz+7d+8OOWZbWxuapoW464qL\nS7j//oeZMWMaXu/oKslisUT11FvzoGkaBoMRk8mK0TjyJY+udITICIYFk8lIZKQlqMe7yWQkOtpC\na6s97AihtLQ4SGBAz1SvqDhFamrGOfl23W43HR2hxSwBLBYL0dHRtLS00N7ejtlsCbtdW1sXTmc7\naWlpGI1GfD4fNTU1bNmyBY/HS3d3F5GRfW/vb775Gn/84++C2ibv3r2T7373ByxduizsJPq5smvX\n9rD5O01NjezatY3rruvL4Pf7wePx4nS209jYGFZggIDrrLfvSy/79u1h+fIbSEtLG1BkwkWVaZqG\nx+NA0zQkyYDJZL3gDx5JkrBYBp5nE4wcQmQEw4LFYgoSmF6MRiNWqxmHI9i1oWkanZ3hxaC7u4vW\n1iYSEwev/xUOs9lMVFRMSGY66NV/u7q6AucfCL/fz//93/8xYcIEMjMzaW5upqKioud6gr+63d2d\n1NfX8Mgjn0eSJCorK9m0aROtrS28+upLLF267KyvIRx2u50XX/wbH3+8CafTwdSpU0MqGLe2hka1\neb16ln12djbp6ekh/XJAT7LcunUr9fXB4lVcfILvf//bPP/8y8iyNURoJMkY4p7y+TwhBTe9XhcW\nS/QFFVvB6EWIjGBYGGzQEU58dAb7Mp5bhIrBYGDKlKl88km4t/0m7HY7kiQxbdqMsCOlHTu28fzz\nf+HIET37PiUlhYULFzJx4kTsdjvJyWmBUYzP52Xfvl1Mnpwb2D8tLY2MjAyeffZZiotP0NnZEXZu\n5Ww4evQwX/zio0GBBKqqct111wVl4EdE9L3Zl5eXcejQASZNmsi4cWOQJIkVK1awYcOGQEsHg8FA\ndnYOJpOJI0cOBd2PmpoaDhw4QExMKW1trcTFxWMwyD3zIBoGg4zJZAt5oLjd9pDqAZrmw+Ppxmg8\nv/sguDQQIiMYFrxeH01NDbS0tODxeLBaraSmppKYmIjXG1rlV5IkYmPjaGioC1kXFRVDQkJiyPKh\nsmzZDXg8Xo4fP0JLSwtut5uDBw9y9OhRjEYjS5YswWo1869/vcu8eQtISNDrflVVVfKzn/2YxkY9\ne91kMnHbbbeRl5dHdHQ0brcbmy2qxw0kUVlZHjYvY8yYMSxevJgjR45iMgXPxXg8TrxeF5rmR5IM\nyLIVkym8266Xn/zkByGRai0tLezatYvVq1cDusDk5y/A6XTy05/+gJ07t9PV1YXNZmPWrNl861tP\nMmbMGB588EEOHz5Md3c3Y8eOJzd3BqdOlfD73/+WcePG9XS/bOLw4cN4vbprsLu7m7i4eEwmy6C2\nut3uQE+a0+lthjZaHkCC4WO0/I2FyFxmVFRU0tbWV9PL5XLR2dmJx+PBaAzvO58w4Sq6u7vp7u6b\n5DabLWRlTTqvL6rBYODGG2/mzjtv58SJMj7++CNeffVVYmNj+exnPxsow19VVUZVVTmzZs1lzpx5\nrFnzKm1trWRlZSFJEsuXL+fqq6/uZ5se0dTcXEdSUjp2+8A13VJSUsjJ8fCHP/yKpqYmYmNjyc/P\nZ9GivpBkTfPjdnf1ZLCHj4qqr69jz57wcyl1dXU4HA6ysiZw9dXXkpaWxs9//iM++GBDYBuHw8GO\nHdv5zW9M/OAHP8BoNJKXl4fRaMJiiUaSJLKyJmKxWPnwww9DzjF58lQyMsYMfsMD1zNYjorW8290\nPIAEw4cQGcE5IUkSUVG9nQUlvF4fdrsHr9eH1+sJO7/i9/upra0nMzN8ld/IyCjmzFlIVVUZDkc3\nJpOFMWPGheR9nCtWq5X09DFs27YFh8PBbbfdFqbPi8bGje/x6qsvY7GYWbhwITabHnFWX19PYWEh\ns2fPDtqjq6uTxMTUkPmZ/thsNjo72zl4UB8VVVdXoqrHaGtrCYw+evH5nGiaJeyP0+l04nINHNl1\nxx13sGDBEjTNiM/nZOfOnWG3279/P11dDuLi4jAYTMiyOXA+o9HI5z73KD/84feCKnHHxMTwwAMP\ns379P6ioKMfv95ORkck11ywnPl5301mtJkwmfa7FbJYxGIwDVEY2nDGRUtM0fD4vBoNx1CT0Cc4e\nITJXEF6vl717d1JbW4XH4yUhIZHp0/NISzv7/hsxMVbM5r4/m9GolyDp6LDT2WkP2+8DCBRdHOiL\nJ8syWVmTztqes6GmphpJksjMDB8WnZyczEcffUR+fn5AYEDPKzl69CgJCQlkZWUFlvt83sADt66u\nOuTaNU2ju9uBLMssWrSIyMhIWlpa2Lt3Lzt37uS6664LCmn2+31B90jTNN577x9s3foJdrudlJRU\namqqQ+yeNWsWS5cuxeuV8Pt18QvXJhqgvb2d9vYuUlMz2bBhPe+88zadnR1MmnQVX/rSl7n//odI\nSkrmjTdepba2hoyMDO66616qq8vZtetI4Dh1dTVUV1fy0EOPkp6ehMUSHDIcFxdPXV1N0PXZ7XZU\ntZhFi64ZsFJya2sTnZ2tuN1ujEYjERFRJCefW4ShYGQRInOFoGkamzdvoKKiNLCss7OdpqYGrrtu\nFcnJqUM+ltVqChKYXmTZgM1mprt74KZno+EhkZo6+LVqmsbChQvDuns0TaOioiJIZEwmEwaDkejo\nWCZNyqW8/GSgQrLFYiUjI5M9e/bwyCOPEBfX1+Bt+vTprFmzhsrKSrKz+5dS6avdZLOZKCkp4aqr\nJuL1OnjmmWfweNxYLBZcLldgj+TkZL785S+jaVIg8TIxMYFx48Zx4sSJkOsYM2Ys48Zl8atf/YLf\n/OYXgRpkGza8z+bNH/Dii6+watVNrFrVlyhZULCb7ds/CjlWe3srpaUqWVnpIeuioiIoKytDlmWs\nVit2u53i4mLa2tpISkolNze0uVlbWzPNzX1zcz6fl87ONvx+P+np40K2F1yZKIqiAJ8FHMA1wI9U\nVd0z0PZCZIaZmppKqqpCqw53d3dx9OhBrr32hjB7hcdoHPjNxGCQsFpt2GyRITkvABER0SP+ZnP3\n3ffx4YcfUFlZGbblr9vtHnQ+4fSmWZGRMdTX19LS0oimaYwdO6Enb0MmO1vvWV9TszRIYECPPLv+\n+utDSt4bjaaeEjEWrFYzOTk55OTksGjRQubPn89DDz1ETU0NWVkTiIiIZMyYdB588CHmzJnLyZNl\nHDx4AJ/Py4QJ47n55pv5/e9/j8fTF5AgSRKzZ8+ivb2Nv/3t2ZAilwYDfPDB+zzwwOeDWhmHGz3Z\nbDYSEhJITQ0fXm4wGEhKSmLDhg0h68KFWAN0dbWHXW63d+JyOUV75UuM4fi9K4piBH4FfEpVVb+i\nKH8HwrtPehAiM8zU19cGlQ/pz+mZ3WfC7x8sp0T/b0pKBg0N1TgceuthSTIQGRlNUtLQR0zDRWJi\nInfeeRenTpVQVFREbm5uYITl9XrDdrnsT3x8Yk9SoYnIyBgaGuqore17ADc01DJ37nwmTBgP6JWW\nQ+d+dMaNG0diYl/knMEg895762loqONrX/tyz7xG3+hv+vTpPPbYYzz99NMkJ6fw3HP/B+gjl40b\nN7Ft20cBQSko2ENubi7f+MY3+Ne//kVdXR3x8fHYbDba2lp59NEHaGpqDBw7ISGBb3/728TExJCQ\nkEBl5UmioqJJScnEYDBgsYRGkkVFRWE0Gs+YZxSOgbqqer3h+/NomobTaRcic4kxTC+Vc9GjRr6s\nKEoE0Az8ZbAdhMgMMwOVhQfCPjwGw+HwYLWakOVgf7rfr+F06g84k8lCRsYEHI6unlDfyFHxcHjz\nzdd4//1/4vG4MZlMNDY20tHRERCazs7OQdv7pqdnsGrVrVitFgwGI83NjQGBsVgsxMTEYDabSUnp\na3882BxUREQkZnMUeq6Jga997Svs2bOTOXPm8Mgjj5CQkMDixYu59957A2IzefJkILhpWGNjIzt2\nbAkasYDem2bRokX88pd62+M//OEPVFVVYTabURSFCRMmUF5eTn19Pfn5+RQUFNDe3o7BYCAzM5OV\nK1diMBhJSRlDfv58Cgv3BVUy6LWhtLSUKVOmhFyn3+/n5MnQtgqyLJOSkhayHPSRXP8eN31IWCyX\nf7vvy41hEpnxwELgs6qqtiuK8hLgBl4YaAchMsPMVVdNpqjoEG1trUHLe0NWz5bOTieRkRZMJiOS\nJOHx+HA43Hi9fQ9oSZKIiIgmYpT0jKqqquKDD/4V0lHR5XJRWloaNKIAPUR59uzZNDY24vP5SE8f\nw+LF1wa1CejtAGkymUhMTESWZWRZDprojomJISIiArvdHmKTLjK6+P7zn+vYt283OTk5gUoEHR0d\nlJWV4XK5eOSRRwL2AsyalR84zsGDBUFRZ3oS6hSsViulpaWYTCZOnDiB3+9n7NixyLJMY2Mjx44d\nw+FwEBMTQ0tLS0DI/H4/FRUV/POf/2TMmEySkzNIS0ti9epVfPjhh7S2Bn+PDh8+TFZWFpMnTw5k\n8usjDy9JSamUl5cFibfX62Xbto9YufJm4uKCWzhHRcUGtS/ou1dRA45+BKOXYRKZDuC4qqq9bpht\nwLVcqSLT1dXB4cMHaW9vw2y2kJ09ieTksy9pfj7Isszixdeya9c2mpt1F4nNFkFOTi6KEjr5eia8\nXj/t7Q6MRgMGA3g84V0i58q5JCmeiY8//jjoLbw/4crO5OXl8eCDD+J2u9m6dSs1NXUUFu5jwYJF\nPYU3D9DQUI/VaiI2NpZPPvmE4uJinE4n48eP55ZbbmHJkiVIkkRGRgalpaVBD1pZNhEf3+dG27x5\nE2lpaWGDI7Zs2cJ9992H2Wzm0KFDLFiwiIcffjSwvr+3SlEUVq1aRUaGHjXY3t7OsWPHMJlM5OTk\n9PTV6WT79u2B646Kigp73rq6Ovbv38+ECQqSZGTevHnMmDGDwsJCvF4vLpcLVVUB+Oc//8nx48eZ\nOHEiERGR5OYqdHR0kZGRRkzMMtxuN5WVlZSW6sEnekHUAyxZsjzonHFxiWiaj46OdrxeN5JkoKGh\nno6OMkpKTjJ37sKgqL/RTGHhHo4cOUR3dzcJCQnMnbuAiRNzRtqsi8owicxuIFFRFKOqqj70kU1o\nhEs/LluRaWlp5sMP19Pe3hdKWl5+Cre7m5ycgfuYDwfp6WO49dY7qagoxW63M2FC9nnnoPh8fsJ5\nlyQJrFYzkqRn/7vdZy7z34vb7cDj6XvrH0qS4vnS1dVFbW0tubm5JCYmMnnyZFatWkVdXR3PPfcc\nVVVVgW137twKaIEHtNVqxeFwUFZWFtjm0KFDnDx5MvADe/XVV/F6vcydO5dx47IYM2YscXGJQRUA\nNM0/4MOzoaGB0tJSKioq2LRpE/Hx8VRUlJGdrT+wpk6dzo4dWzCZTNx+++1B5WViY2OZPXs2TU1N\nlJWVYTQaiYmJIS0tjZKSEiB858v+96a/AFmtVhYtWgToIxKv10d5ud5Ppri4hI6OLpYuXYHT6cTp\n7MJms2CzJQN6sEN0dDSHDulletrb25EkiIy0BNyvXq8PozGNuLhk7PYu3nprDSdPngjM++zbt5vV\nq28JG5k2mvjoow/45JMPA3NStbXVlJae4rbb7iQ3d8oIW3fxGA6RUVW1RVGUbwO/URSlEUgGfjLY\nPpetyBw8WBAkMKCHZBYWFjJuXM5Fn6cwGAxkZQ298+C50Fttub/bxOfTcLs9OByeQQMHNE0LW+FX\nX+7AZAqfpDgUVqxYwdtvv013d+hoxmg0cujQIdLT0/ne975PdLRej2zdunVBAgMEghl66ezspKam\nJuSY3d3dPP/88xQWFgbyVTZu3IjFYuELX3iCe+55IGj76dPzqK6uDCl0Cbo77k9/+hPFxcWAXkZm\n48b3+eIXvwroLxBxcQnMmDEtSGB6MZv1KLVeIdS/B1kBkfF4PGEFzmAwcNVVuYAUtuWB3gjtRmpr\n9bmpuLh4MjPHIUlSTwBF8AjXaDQyceJEjh8/jtvtxmy2EBNjCwqJN5mMmExG2trsbN36CSUlatAx\n2tpa2bjxfSZNUsLeq9GAy+WksHBvSNCD3d7N7t3bhchcAFRVfRt4e6jbj85vygWg12d/Op2dnZw6\nVcLkydMuskXDT1SUJejNWJIkZFlCli1YLCa6upw0N+vdHM1mC1FRsYEvop6I2PfDPHHiBIWFhTQ3\nN2OxWMjOVli58qagSe+hkp6ezsqVN/Huu+sC3R0BpkyZxhNPfANVPUZsbBx+vwGXy0N3d1fgITwY\ndrt9wAiqqqqqkIRIl8vFunVrueOOu4PmboqKDtPQ0MC4caG5IO3t7QGB8fl8lJSUsH//Adate5sZ\nM2bxjW88SUZGJhGDTIBZrcEvNP1Fpa2tjYiIiJCHtqJMZuHCpQCcPFnK7t3bqK+vx2q19rRlvg6f\nz0BSUjJJSclB+/a/x6efd+zYsZSWlpKTkzNAzpURm81MeXlo0ADorQyKigqZNWsOPp9edWI0cfJk\nScjLZS/19bX4fL4rpgr1SKcs9HLZisxAGc3AqH0LOx8sFjkk6qw/Ho+bioqTgYlt0JPv0tIyMZks\nQW6ZkydPsn79+kAeR1dXF83NO+jq6uTuu+8/J/tuv/1OJk+eys6d23G7XUycOIlly1Ygyyby8+cB\n4Hb7sNvtdHQ0Dxpp1stggtc/YdJg0KsieDweysvLKCo6Ql5eX4ma2toajh8/jsFgIDk5GYvFgtvt\npqmpCYPBQEREBIqisHHjxsCIpKGhnv37Cyko2MsPfvBjampq8Pv9YedXTg9Vt1j0++33+3E6nVRV\nVZGamkpCQgJerw+Px0NFRRUbN65HUSazZs3LdHbq4dhxcXFUVVWxZs2b3H77Z0LO1XvMcN/xXrfX\njBmzmTZt4Jcsp9MeEi3XH7fbjclkxGDw4XaPrlbLMTExgXt7OmazJezf53JFiMwwk5aWHjbpLDEx\n8aJPAOpuKw+a5sdgkAettXWunOkLVVZWFiQwAC6Xg6amOtLTxyNJBoxGEz6fhwMHDoQkCgIUFx+n\nqqqSzMyxg57L4bCza9d2mpoasFptLF9+DZGRieTmTjmju8LjcWKxWEhNTaW8PDSJtT82my0kA7/v\n2lwYDAZSU1Ox2WwYjUbcbnegknF/kpKS0TSNo0ePYjabiYmJoaurC6fTyZIlS1i9ejV1dXUcP348\n5DxHjhxi+/at5OTkUFpaeloFAX2kcuDAgcBnWZaZNm0amqZx6NAhDh48SE1NDaqqBhqz9fL++//g\nkUcepa6ulkWLFjFr1qxA2HtHRwdVVWU0NDTz4Ycb8Hp9ZGdn09TUwJQpucydOzfEVrfbQ27uTNas\neZWdO7dxww3Xs3jx4pDvTltbC1Zr+GCPqKgoZsyYAeguOIPBjaaNHpHprahQVhY6Eps48fwKvl5q\njJZrHVGRURQlDfgpMFNV1dBfxXmQn7+A1tYW6ur6fPYREREsXbr0og6XfT4fbndXUOl1o9GMxRIV\nNrehvb0Fn8+L2WwhOjpuyF+UiooqkpNjwiYf+ny+ARMdHY5ufD4vRqOM2RyJy9U1YN0tfSRwakCR\n6erqpKKilE2bNgQlGx45cpDrrlvN3LnzB70GTdMCRR3nz59Pc3NzkDCe/oYqSRKKotDW1tavmZmR\nlJSUntDn9KCwZ4vFgsVioaKijKysCYHln//8o2zevImGhobACAb0Cs75+fnk5eXxm9/8ZkC7Cwr2\n8p3v/IDDhw/Q1LSb8ePHI8sy1dXVbN68mba2NuLi4gL/LBZLIDemf4Myn88XcGmZTCa6urooLj7B\npEmTWLBgQdA5Y2JiqK+v4Zvf/AYOhwOj0cjChQuJjIykqamB+Ph4srKyAiMaSTJw6NBRnnvuz4Fj\n7Nu3l/z8fL7//e8H3Icej4eysjJSU1Npa2uns7Pve2MwGMjPzycmpq8fjSQFR9iNNJIksXr1Laxb\ntyZQKUGfj5rEypU3j7B1FxchMjpLgHeAvAt9YIvFyurVt1FSotLc3IjZbGby5BmMH586YN/24eB0\ngQHw+dy43fagtrUOh53Gxmrc7r638o6OVtLSxiLLZ54HOXr0MCdOHOXJJ58MSfL0er0Dup/8fj9+\nvw+jUa/ca7XGEB0dE3jQ9keSpLD9Zfx+H8eOHaKpqZEjRw4HCYx+bQ62bfuImTNnBc2FhEOSJDRN\nY8KECXzmM5+hsLCQjo4ObDYbR48exePxkJSUhMFgICUlhby8PMxmM2vWrGHHjh3ceOONWK1W4uLi\nKCoqCnuOTZvWk5ycSHR0LHa7g+bmFr761a/x+uuvBeZfsrOzyc/Pp7y8nOPHj2Oz2ZgzZw6rVq0i\nPj6euro61q5dy6lTp5AkCbfbyVVX5fDii8+xdu3awLlKSko4efIkN998M3rJp757cvDgwSC70tLS\nyM3NDfr7eb1ecnLCj7xjY2PIz89n69atZGZmBgTV6/Wydu1aJkyYQEZGBjExceTlzePFF5877e/m\nZ8+ePbz00ks8/PDDdHd3o6oqTU1NREVFsWDBfJqbW2ltbSEiwsbUqVPJz88POkZ3dzePPXY/8+cv\n5AtfeHxI39ULgaZpbN36CVu2fIzX62bGjFnccsvtyLJMWloGjz76BEeOHKS1tYXMzHFkZ+eMmofu\nxWK0XO+Iioyqqm8qinLtcB1fj9CZDEwerlMMis/nGaR5lBvQHwqaptHcXBckMKD7xpua6khLG9w9\nBTBt2kyeeOLfOXbsGPfccw9XX3114I3TbDYPmJRoNluR5b4Hf1SUlTlzZlNWVhpSsiQzcyyKEuru\nKilRqa/X2wkPNGJqbW3hyJGDzJ49l/r6Onbs2EJDQz1ms5lJkxQWL16KwWDAYDDh8+n3ITk5mZUr\nVwJQXFzMu+++C8CMGTNC3EFms5ni4mJuvll/W3W5XAP+yFpaWqisLKOoqIjW1lY0TUPTNJYuXcrK\nlSvRNI3GxsZAi+SioiLmzp0bELSEhATmz5/PokWLeOqpp7juuhVERVmoq6slPz+fTZs2Be51RkYG\nFRUVHDt2jHnz5gXmkdrb24NGjJIkkZ2dHfKCIMsyJSUlzJgxIySAAHT3FYSfnyotLaW0tJSpU6dz\n7NixAbL5YefOnUyfPp2KioqgbWJiYpg9ew5WawxWqxTiAfD7/ezfv58TJ45z4sRx6utr+e//fjrs\nOS40v/71/7B27RsBe+kMYg4AACAASURBVNevf49t27bw9NO/wmQyYTQamTlz9hmOcnkjROYKIHw/\nD53eB5skSbhcTpzOUAEA3Z11ehvdcCQnJ3PDDat4+eW/88orrxATE8PXv/51pk6dyoQJ2SQmJuNw\nOIOOpXfFTAh8GQ0Gvbjk8uXLaW9vZ8+ePbS3t2M0GsnKmsCnPnUrFosBTQOfT3eTaJpGS0vjQGYF\nIUkS9fV1vPLKi0HzZaWlJ6mpqSIiwkZTUxNLly4hOTk58FCrqKjg9ddfD2x/upA5HA42bdpEa2sr\nHo8HWZaJiooKjIpOJyIigpMnT9LS0hJY5vV6g/JteklLSyMpKSmQm+P1erHb9YnxyZMn85WvfIVb\nbrmFyMhI4uPjmDx5MgsWLOAf//gHu3btIiIigqysLE6dOsW+ffuYN28eRqORhIQE4uLiAjakpKQE\nBON06uvraWlpITU1NehB73Q6mTBhAhMnTqSzszNs4MG4ceNISkoIchufTldXF6dOhc5h6AVENfx+\nDy6XhMnkR5ZlJEnC6/VSXV0d5EbcuvUTjh8vGnTeraBgD9u3b6GtrY3ExESuvXYFU6fOGHD7cBw8\nuJ+3334zRDS3b9/Ca6+9zP33P3RWx7tcESJzDsTHRwwaQTVUkpOjL4A1Z8brtVFT4wgb6WK1WkhJ\n0UcabW0Di5FeOl5/+JzJ7r/97S/Ex8fw/vvvU19fz5tvvoksy9xxxx09ghJJY2MjLpcLi8VCcnJy\n2NwOgE9/+tOsXLmSoqIiEhMTGTdu3GnZ+d7ASKl/H5fY2NiwWfzJycksW7aEV199NWxAxtGjhwL/\nX1p6ksTERFJTU2ltbWXXrl1B97B/uHBraytr1qyhsLAQ0CfabTYb8fHxxMXFhZRhMRqNZGdn09wc\nbIPBYAgrSqc/2Htpbm7G4XAwb948IiMjg37Q8fHx3HbbbRQVFdHR0cHEiRPJyMigoaGBEydOMHXq\nVCZNmkROTg67d+8OnH8g9FwlL13/n70zj4+qvvf+e+bMvmTfNxKyTAIhYVFEjKJsRVFca10r2tZe\n+6hX2972ubZVe2sX2ttrn7a3tfcWW1csIHVBURBBFgXCloQlE8i+T5LJZCaZfXn+OJmTTGYScWul\nzef14gWcc+bs5/f9fbfPZ3g4gjlaJpORm5vLTTfdxPr167FaraSkpESsz8rKGqUwyufQoUMxjxOL\nQy81NVXaV1ycDq1Wy9DQ0KgmjZlDhw7xl7/8JcJQu1wu6utrufTS2Lm3rVu3sn79eun9OHNGDPPe\nf//9LFmyZPS4H/5tHjy4d9Iy7fr6ur/Z9z0Rf6/jToZpI/MxMDgYe7b/UZCaavyb5mTkciXBYHT1\nUzCokM4jFJKhVKqiuL1AJLy0Wp3nfN6PPvoTvvOdRxkaspGcnIJCoaC/P5w8V5KUNCaUFggg7XNw\ncIBg0ENp6VjeQK/XS2GpibNGhUJBe3snen0iGo1OqvDKz89neHg4ImGv1+u55JLLsdnctLa2f+g1\nhEIhqU9nooEeGRlh3bp1rFq1CplMxrZt27BYLGi1WlwuF62trWRmivoqZWVlkoZK2MOJi4tjxowZ\nWCyRfVQ6nU4SNvN6vbS1tdHU1DRpo2RcXBxOp5PExMSYH3N8fDxLly5l69at+P1+NBoNGo0Gq9VK\nMBhk/vwLWLHiSsnI9Pb2MjIyElGoEEZq6lgfjFIpyhFoNBrpGhITE7n44ovZtm0bixdXkZmZjtvt\nxmg0UlBQQE5ODoIg0NzcTHV1dYShiY+Pl1gEwteVnp5OfLzYQyWTyXE6g6ONsEpUKiW/+c1vOXr0\nSMxnp9cnRL2nw8N2hoYG2bx5c9QExOFw8PLLWygrm0daWhxDQ04UCoFAIIjHEzu853TGNjAAHo//\nb/p9h/FpjSufpqH6vJRr/72ry5YAdwKZJpPp+8AvzWZz9DT4PIZKpUcmkxMIhJUpo/nAbDYbQ0ND\naDQa5PKxAUsQBBISUmLtdkqIA1pspt2J8Hg87Nr1tsRonJJyT8RsOIzYhQOiAcjOzmN42E4gEECj\n0TBv3jw6OjqQyeSkpWWwfPkVqFRj+aEwZDIZeXl5xMfHS0zM7733HocPH6avr4+UlBRKS0tJSEhA\np9NjMom5tePHa3j22Wel/aSmpnLrrbfS19eHw+GQPDWlUklZWRk7d+6kru4EfX3ioHzo0CFuu+02\nvF7vaMOqgoKCgogBPi8vj4SEBPx+f8RM32QyUVhYSHx8PIGA2NdjNBpjFjTYbDY8Hk+EJ+Tz+diz\nZw8zZsxk2bIV/PGPT9HT00MwGKS5uRmTyRSRX0lISKCyUuTbi4+PJzk5mVAohNfrjfDGiopKuOuu\nTIqLx0hX9Xq9lFeqqqrixz/+Mc888wwbNmxAr9czY8YMysvLpesO99jExcVJBkal0kUY0UAALrnk\nMo4dOxrl9ZWWzmLp0hURy/r7e7DZ+unp6aGnp4dYaGtrZXjYQVpaHHFxWul4Pl8Ah8NFIBB5nCuu\nWMaWLRtjlq7PnTsv5jGm8ffD3zvx/x7w3t/zHD5ryGQyVCodELsjXCTyO47X6yUpKYmMjAzi4xNJ\nTk4lPj7pE3OcxUIwGMRutxIIBNi/fw9/+tPT2Gw2DAYDRqORL33pS1IYLRgMjpZhR88edTodPp+P\njIxsZDIZ3d0duFxOlEoVJSWzyMubiUwmi5jlFRYW43SKXk5qamrELN3hcLB3716pebG3t5fe3l6K\niop57bW3pM72OXMqefXVLQwN2ZDL5ZSWmjAajWRkRBrWrKxsjh07xp49eyI8scbGRp5//nnefvtt\n3n33XQRBiPIgBEGguLg4Qt0yLy+PiooKqSw43NcyMDBARkZGxGDs8Xh4++23OXXqFPPmRQ58wWCQ\n2toarr32i1x66aUcOXKEtrY2OjtFeerS0lLS09MxGo1cdNFFaLVatFotOp2O/v5+AoEAgUAAvV4v\n5afmzp2HxSJ2tItMy/vo6OjA5/Mhk8koLi7mm9/8JnfddRcqlYrBwcEo9msQ8zyHDx+mrGwWCQlJ\nUZLUALfffhe9vb1s374Nm20QuVxOWdls/u3f/j3CoHq9boaGxHCaRqNBoVDELD5QqzWkpYnv2/jj\nKJUCBoOGoaHIeWdl5Tyuv/4mNm/+S8T+qqou45Zbbo/a/z8rpsNl08Bi6aG29qj0oVit1tEYt4wr\nrlhBRkbOp37MkREH/f3dUmiusHAmq1ev5rHHHsPn83HixAkOHjzI3XffTXGxicFBG3Fx+ih1yTCC\nQS+gJD09i/T0rJjbhNHT04lKpWDWLDExPHEmvGPHjphCbmfPnuGZZ57mW9/6LgMDXVx44VwuuKCS\nrq4uTp2qZ2hoMKp5NDMzmyuvvI4NG16KObA1Nzfzyiuv8LWvfY3t27dPWiBQU1ODVqtl/vz5EX0n\n4+HxeHA6nRGG6t1332X37t0IgoDD4cBoNNLb24vFYhn1gNyUlpZjMBhYu3Ytg4ODDA0NkZeXF+EV\n9fcPoNGoSU5OweFwSIO4XC6XQlpOpwuPxyN5m4cOHZIYl8P3uaGhgf/+7//m5z//OSaTierq6ohr\nUCqVlJaWkpSUhFKpHJULcOPzefH7PajVRqmJWCaT8a1vfZc771zL3r3vkZGRyeLFVVGDmsNhlwpN\nMjIyKCwslJijx2PWrNlotbFL25VKAUGQRXkzDz/8HRYuvJj33nsXn8/P3LnzWL16zT8km8fHxbSR\nmQaNjQ2TlJWGRpl+Sz7R/oPBIEePHqK9vRWPx018fALFxUXA2AerVqu5/PLL+epXv8rvf/97RkZG\n2LFjB2VlZWi1OvLzTTQ2nsJoNEYQb3q9XpxOJ4Iwdd9LGCMjw5w5czoi7zTxIxifRJ6Ivj4LPp+D\n7OwxQ5aYmEh6ejqvvvo6+fkzGRjoRxAEMjKyuPDCxZw8eWLSXhkQiwbCDZITCwTCcLvdbNu2DYPB\nwPXXXz/pvo4dO4ZGo8Hr9fLBBx/whz/8gVAohNPppLOzE7lcTktLi2TMent7aW5uwmQqGfX2Ir26\nMHw+Lz6fF4fDgc02SEVFhRRrl8lkGAwGcnIKaG4W+3tCoZAUIpuI06dPS56Z1WolISFB8rgsFgvB\nYJCysjK+8pWvUFRUhEKhwG63EwwG8fmcCEJcxP7S0tK58cZoapvxqKmp4YMPPsBqtaLX66NK6YuL\nTdx665eZjANNJpMhl0cbGYBLLrmUSy65dMrj/zNj2shMY0p+rnPh7poMFouF9eufoq6uBpkMLr74\nYjQaDTqdlvEGZjwWLFgg/burq4u+vj50OuOo5n0cNpsNjUYzKpTmk4yjTPbhyUWfz0dPT1vMwobx\nCM+iL7vsMvR6PUeOHKGzU8wVXXXVVRiN0UnRlJQUSkqKSErKYPnyqwDRuD700P28/vorjIwMR/0G\nxMKFqqoqQAzbxTIyXV1d7Nu3DxAlBCaTOg4Gg2zd+iYbN74kLXM4HNjtdrxeLz09PajVahITEyPy\nOx0d7SgUApmZmeek02Kz2ejp6ZH0akAM2SUmJtPUJBqPUCg0Ke+Y3+/HYrHQ0tJCXV0dycnJbNq0\nicbGRmmb5uZmTp48yVNPPUVWVhZarZaREZEVYiql0VjYu3cPv/3tbyOMisFgYOXKleTk5DBzpomL\nLlqMXC4nEAgiCNHvksjl9ulqJv2zYNrITIOMjGzq60/GXJeSElub/sOwZ89uHn74ftrb26RlNTU1\n3HLLLRGD00SMb/STy+VkZGSSlJQ2ei6ZuN1DMfjMRIbnifB6vQSDwVGjJHoDfv/khIthrFmzhquu\nukrKrVx33XV88MEH7Nr1nmQQYiExMZHe3h5J4+W3v/1/vPTS8wCsWrWKjo4Oli1bhlar5eDBg+za\ntYtVq1Zx5ZVXApCbm0tjY2OEYe/v7+ell16SBuzjx49z9OhRFi9eHFXS3NTUhMVikUqgXS4XAwMD\nklEKBoO4XC78fj/Z2dkRH//Q0BB2ux2lUnlOoR673T7ByIiKoHq9AZfLiVwuJyEhYdIycplMxsaN\nG6UChPEGJozW1lZ+8Ytf8OSTT46rUAqN/jm3gSsYDLJly6aoBuDh4WFOnjzJfffdh16fJO3f5fJG\nsUKL99IXtcxm68flGiEYDI2yO6ROh8liYNrITIPCwmKams7Q1tYcsTw9PYvy8o+u4BkKhVi37okI\nAwOiZ7Njxw5mzJgxqiUSHeIaP9gUFxdz221rpSonkdfMgM/nlGLsMpmAUqmNIPu0Wgc4fPgDLBax\nWiolJY358xeQn587aaPheCQnJ0d8GDqdjqVLl3L11ddOqc7pdDoj5IF37XoHECvBHnvssQgP4p57\n7qGhoYH58+dLxzKbzZKBcbvdvPXWW7z++utR+jdf//rX+fWvfy0l430+H8eOHePxxx9n6dKlFBQU\nSHmXWF6Pz+fD4XBEcH8plUo8Hg99fX0YDAZJQnoyfr2JZalyuYBcLpCbm4/dbsPr9VJWVobVao1i\noo6Li+OnP/0per2exx57jFdeeYX3338/5nF27drFyMiINHjL5cqYXmsoFOKvf93M229vw+PxUF4+\nh/vue4DBQStnzsQWTGxsbKS/vx+9foyoNCyu53b7EAQZwWAIt9sXIboXCoXo7W1neHisGdftHsHl\ncpKZOWPa0EzAtJGZBjKZjOXLV1Fbe5yenk5CoRCpqelUVi74WB/MqVMnOXbsaMx1bW1t2O12ent7\nycnJiXgBu7q62LBhAwA5OXk88cS6COVIEPt1FAoVgYA4sxQEZcQ+fD4vu3Ztj2i07OrqYGhokGuv\nvZYZM2bQ3d0d1a3v8XgYGRlBrVbH7BERe0LUBAJikYFaHXleTqeTw4cPY7UOkpSURH7+TKlH59pr\nryUlJSXiXiqVSmbPnk1nZyeZmZkEg8GIUmCNRsPg4GCUgZHJZOh0Or73ve9hs9lITExkaEj07q67\n7jquueYa9Hqx2fU73/lOTIE2iO43uuKKK8jIyKC9vR2Px0NKSgopKSlSmHDiOYQLMNxuN52dndTV\nneCaa27AZCpj9ux5dHS0Eh8fT1xcAmZzPcPDIxiNRi68cBEpKals2PAc99yzFqPROGlDI4jhvvXr\n17N27VpAjs8X4JlnfktTUyM6nZ7ly1dQVbWE733vO/zpT3+UjPSbb77Orl3v8Lvf/a9kQCdCp9ON\nqn5Gv+MORzT7dxgu13CEgQnD43Fhs/WTknJuZft+vx+73UowGECl0nwkItrzCZ+Xa5o2Mn9nyOUC\nc+cuABZ86LYfBp/PNyURZigUorGxkeRksZtbLE328dJLf8Ht9jBv3gJ+9KOfsnDhopj7kMlkCIKS\nzs52Bgb6SEhIJC+vAJlMxqlTdTE7+UdGRqitreXyyy9nwYIFNDQ0MDg4iN/vZ2BgQPp3QkJCTCMD\n4wdmFQ6HA71ej1wup7e3l71790p0MPv37yE/fyalpaXU1Bxj7ty5kxprr9eL3+9HEISoj/Guu+7C\naDSyb98++vv7USgUGI1GyRsTBEFKrt9000388pe/xGAwSCzR8+fPj0lRA5FaRvPnz+eb3/wmGo0G\nt9tNfX09R48elQzM+ByI3+/H4XCwe/duEhMTGRwcq6jbs+ddSkpKSUxMJjExedLGwMcff4Ta2uOk\npqZitVpZunQpW7ZsiWp4DQaDjIyM0N7eQSgk4HK5ePjhB2hoGKsM27nzbZYv/wIvvvh81DtXXX2I\nZ599hpkzizh9OjocPHv2bM6cOUtFxcKY92gyTJZfA9HQnNs+HPT1dUWEb0Ui2rx/OE9o2shMIwKh\nUIiOjlYsll60Wi0lJbM+8ktfUVHJnDmV1NYej1qXk5NDXFw8+fmFlJfPRy6Xc/JkHV/72lrOnhUr\nk1pamrnnnjv52c/+k6uvvjZqH263m1273qarq2M0HCQjIyOTJUtW4HBM3u0c9iy0Wq3UWOj3h3jt\ntVclA+J0OiVDEwwGI2bAYdqaUAhqak5RXf0+giBw8uRJ9Hq9dJ/C/Fz/8i8PUF1dHbMPJIxQKMT7\n7x9g3rz5xMcnSLmDsBczZ84cHA4HZ86ciQp9qdVq8vJm4PG4efTRR0lIGJsJC4LAvffey+7du6Oq\n5XJycqiqqsLv92M0GnnwwQelXJjH4+HIkSMRuZRwjsfpdDI4ODhOsz6yeqyzsx2rdYDk5Mkbd2tq\njrFz5w5yc3Ml4xQfH092djaNjY1SCDVszJxOJyUls1Cr9Tz55H9FGBgQjfTLL2/E6YztsR0/foRf\n/vL/8bWv3RXhvebl5WE0Gj9WMn+qDvZzKUARiWh7o/KDbreTgYFe0tOzP/I5fZ4xbWSmIcHv97Fz\n51t0dLRJA9qpU3VccsnlZGae+4svl8t58MGH+fd//zZ9fWOklVlZWTzwwMOsXn0NRuMY99UvfvFT\nycCEYbH08uST/8mVV14dlRf44IM9dHaOp4UJ0dPTxQcfvDdloYLRaCQQEHXqQyEIBiEQkLFkyTL2\n7t1NT08n2dnZXHHFFSQnJ0shrLq6OgYHB3E6RxgastLe3sFPf/ojhoZsqFQqKWSVkpKCTqeTckiz\nZ5dz8OBBjEY9PT09MfMjvb29OJ0uVColHo+b6upqiouLSUxMJDFRzBUkJyfz5ptv0tjYSEpKCjab\nDafTiUwmo7JyLmbzqahEPojVfE8++SQHDhzg1KlTHD9+nJKSEu644w7S09MBsYS4ra2N/Px8BEHg\n9OnTMZP1Y/LYkYNyYmIiGRkZqFQqfD5RsjpsZMQKMw/BoI9wccbBgx9IdDnjCzjuvvtuvv3tb2Oz\niY2tIyMjBINB5s1bIDU2nj4duww81vmGIQgK8vNnsm7df/Ff/7WOgYEBlEolOp2OxMQUbrzxS5P+\ndjLExSUyNGSNSTyr0314zs/pdOD1xg7Hud2xjeX5jGkjMw0Jhw59QHt7pAqkzTbIgQP7uO66mz/S\ny7JmzfXMnFnEc8/9CYvFQk5ODl/96n3MmDEjYjtx5nw45j48Hhf19Scj2HF9Pi/d3R0xt+/u7uSC\nCy7mzBkzDsdEqWENCxYswOeDcNQrPObr9UZWrboGp9NBRkZKRL4lLDj2zjvv4PP5qK4+yBNP/DBi\nYHM4HGRlZTE4OIhWq6WgQFSl1GqVGAxiubPBYIjysiwWC8ePH2fJkiVUVx9i3bp1fP3rX49qOE1J\nSaGqqopLL72Uhx9+mIGBAfbs2cMPf/hDDh8+SGZmZpS36XK5OH78OGq1miVLlnDZZZcRDAajDHZc\nXAJ9fX3U1tZiMpmmlDue+PzDjY3j6WdaWs6gVqtIS8scFV8bu09+v5uKinIEQWDNmjWkp6ejVCqx\nWCyYTCa+//3v8+KLL9LQ0EBqahqLFi3m0Uf/Y1zhR2wvQfRIfDElJBYvFqsB58+/kD/+8Tneffcd\nRkaGMZlKmTNn7scaAJVKFUlJqQwO9o0L0ckwGuOJj49N9DoeU7UFTFaefj5jmrtsGhLCvGETMTDQ\nR1tbMzNmzIy5fjKUl89h3br/+sjnsXDhQn72s59x8cUXo1ar8fuDuFxenE4XIyO2mElcEHNBBw/u\nw+32olSq8ftFqemUlDTmzJlHZmYmfX2OSRUUU1OToxL6IOqZFBcXc+rUKWprj0fNnMP8XSqVivj4\nRFasEPtklMqxAT3ce+NyuaRGxY0bN1JQUIBGo+Hll19Gr9czc2bse5yens6xY8dQqVRkZWVx4403\nYrVaefDBByWJ5vE9LmGNmjDEPFakgUlMTKaiYgHt7W20tbVgsx0eNXAyYvUxTTRA2dnZUfoxfr+P\n1tZG2ttbKCszMRFz5pSzceMmKivHmjnT0tJob2/noosu4qKLLsLr9ePxeEf3HZSkAyoq5nHy5Imo\nfebk5HL77V/mv//711JIVCaTsXLllXzjGw9I22k0Wq666pqY9/ejIiEhBb0+Drtd1AHS641otbFz\neRNhMMRhtVpiltOr1R/ep3S+YdqTmYaEqXpIRPbbTw8ibbwP8PHLX/4nL730Em+88QZ6vZ4///nP\nlJWNCbwplQJyuZqRkSEUCpHGJFZXfkJCArfffitWq5UDBw6wffsObr31yxQVlTA87GD79u309FhQ\nqdQUFBQyc2ak0uNkM2VAGsB37Xo3al1cXBxr166loqKCjIxMZLJAVChFJpMRFxcnlQ23trZSWVlJ\nZWUlcrmcF154gYGBAU6fPh3z+GKjYIDBwUG2bt3KCy+8wJkzZ8jNzZV0bK65RhxAfT5f1P0Rc20d\nDAwMEAyGSExMIje3UAon5efPHLddO62tkeXsXq83whPT6XQxy8GDwSD79u0dFYGbGWWEEhMTyM+P\n9GaVSiXp6ens27ePxsYmcnKypftksXQzMGChomIB9977DRoa6jlyZIyKJi4unrvv/irXX/9FVqy4\nkpdf/gtut5tFixZz7bU3fKazaKVSRXJy+kf+nVwuEB+fxMCAhfHGXKFQfiwi2s87PisjYzKZDgDh\nuGPAbDYvm2r7aSPzOUBSUnKElnoYOp2e/PzCT+04oVAIj2dEUp685JJLWLRoEcuWLaO7uzvCwIQh\nCHIMBj0ej5uioiKOHj0aUYarUCiYP38+giCQmprKNddcQzAYZPv2N0lMTGLbtlciPKCWlkYGB60s\nWDCmORLON7jdbl566SUsFguzZs3iqquuwu32IJMJUdT8cXFxPP7441RWVo6rwHITDPrxetWo1dFK\nkaFQiOLiYonaJCEhQaoaa2lpiZljsFqtZGdnU1tby89//nMpNBQuaf7BD34AwPLly0fPIbJEuamp\nifb2sTyW3T7Eyy9v4Lrrbo4Q95LJZCxduoqamiN0d3cSCASIj0+kq6sNl0vkJsvJySE9PT1q8Kiu\nrmbz5s20tooh15deeol7772XG2+8UdomlmYMiEzNbW1tPPfcs8yZM4fbbrtt3LX309bWQn5+Ib/+\n9e/ZuvV16utPotPpuOaa6ykoEA1kRUUlFRUfva/r74HExFSUSjXDw0MEAn6UShXx8cmo1dGqo+c7\nPkNP5i2z2fz4uW48bWQ+Bygvn0dfnyWiUkcmk1FSUhrRZPhJEQj4JAMThiAIXHvttfT3R5cfj98G\nkPIAzc3NOJ1O4uPjmTNnDnPmzInYvqioiI0bN/HOO29GhdhCoRAnT9Yya1aF5KU4nT7q6mr5/ve/\nx9mzZwHx+p977jn+7//9PlVVS8nPL6ClpRmj0ciiRYvIy8vDbDbT29uLyWQiPz8fgGDQj93uQKVS\noFIppA8tTLdy4sQJ6urqsNvto7xYYpPiRRddRH19fcQMfGRkhP7+fq688kqamppYtmwZCxYswGAw\nYLFYePfdd6murubee+8lNzeXK6+8knnz5kmVWmFKmYlwOp0cOvR+lIKkIAjMnz9W1tvb20F2djp+\nv5/+/v6YfS0Wi4Wnn346IkTX0NDAE088QUlJifRsphpwwl5PU1MTbrc7gv1hcLCf/PxCFAol1113\nA3DDpPs5X2AwxGEwxH34huc5PkMjM8dkMn0X0ALVZrP5jak2njYynwNkZmaxYsVVnDxZi90+hFqt\nJj+/EJNpchnbqXDs2BGOHatmcNCKTqentHQ2S5YsJRCI3Xwn6ssXx1wHkQnTvLw88vLEnoKsrOwI\n/Ztdu3bxk5/8hOrq6lHK+GpWrFhBdnZkhZzX66GpqYHS0jL8fg+BQJAf//gJycCAaBSqq6t5+un1\nPProj/jiF7/EU0/9jqVLryAtTaxkCwaDWK1WDh8+jFarlSq3gkE/XV19JCRopd4bv9+P2Wzm4MGD\nkrcRCoUIBAKcPXuWDRs28MADDxAMBiVNGkEQWL16NXK5HLlczs033ywZoczMTIqKihAEgYMHD5KV\nlUUgEKCtrY2ioiJA9IImS+j39fVOygXW1HSGxsYz2GxW1GqVpGsz8Zn19fXx61//Oibvms1mY+PG\njcyZM4dgMIjX64/pzQwMDPDaa68BIu3MxDDb0NAgIyM2UlJScbt9k+bVPisMDPQzNDREdnbOpN7Y\nNGLjMzQy68xmxKSjbgAAIABJREFU8yGTySQAe0wmk8NsNu+ZbONpI/M5QWpqOpdfvuLDN/wQHD1a\nzRtvvCINbkNDNrq7O3G5nCxbtnTS34mqjNqoBLzdbqejoyNC8hggFJKPJoZFL6epqYm1a9fS1jZG\nadPQ0EBjYyPl5eV84QtfiKjeio+Pw+0Wcw11dXWcPBndtBcKhXj77W20tbXidA5jMpVEVYBptVrm\nzZtHXFycpI554kQN+/fv56GHHorwpBoaYrNeJycnYzAY+MlPfsKTTz5Jbm5uxDnodDqysrIkA6NW\nq6XemAcffJDnn3+exsZGzGYzxcXFXHDBBbz33ntTVjNpNBrUahk+HxEDd13dMQ4fPhghaa1SqaKo\ngORyOS+99NKkQmAgPpPjx4+Tnp6B0ZiKRuNHqRz75N1uNy+88ILUd7Nq1aqoIoVgMEhjYwMzZuSg\n1apwOj243bEVKz9NDA3ZeP31v9LS0ojX6yUhIZHKynksXfqFz01C+58VZrP50OjfAZPJtBe4Apg2\nMv8sOHLkUMzZ88mTtVxySRWT9XcKgoJNm15m9uxSCgsLUSgUtLW1sXfvXvr7BygqKiQ/P3+UZFGO\nUqnF4/GjUIiD0m9+85sIAxNGIBCgpqYGi8XCV7/6VbRaLUqlisTEBMLKmkNDQ1F9ICCSVA4PD0dw\nYFVXV7N27VpUKhUmk4lly5ZJuvfhxsVAIMDy5ctRKpWSiJfX643KuajVauLi4lAoFCxdupRdu3ax\nceNGXC4Xs2bNIhgMcvr0aVQq1Si9ChLtS7h0OTk5mXXr1nH69GnWrVvH8PAw11xzjVRIsGbNmpjE\npMXFxcjloFRCOAoWCAQ4ffpkhIGZDDt37qSzs3PKhl2LxUJ9fT06nXH0PrtQqxUMD9uxWHp45pln\neOWVVwAxLzjR4wzDarUyPDyM0WhEp1Pj9QYIBj87lyYUCrFly0aam8c8W5ttkD17dqHV6lm8+OPR\n+4ueq0/y6AVBFUWP9I+Ez+K6TCZTKXCJ2WxeP7qoGNgy1W+mjcw/EPx+vyQxPBEOh53Ozi5mzpwR\nFTYTBCXBoJza2uPs378HtVotqUWG8yZnz56lpaWF8vIKFiy4eFQsy4tKJRAMBmIamPHo7u5m//79\nLF++nDlzKgkbGIALLriArKwsurq6pGVut1sqix2PlpYW9uzZw6pVq1iyZAlyuRybzSYJeOn1egoL\nx4olBEGQ6F7i4uKkWbtWqyU1dYy9Nycnh5tvvpnGxkZeeOEFdu/eLXXcFxQUEAqJjL8TudDC21RW\nVvLggw/yjW98I6JSbd++fSxZsoS0tDRkMpkkDnbVVVeN/l78EwpBb283drst6po9Hk+UJxNuto2P\nj2dkZCRqYpGQkMC9994rddiL9wJCIT8Ggw6DYSbf+ta3yc8v4PjxWhYvXjSpwRrfQyIIcjQaJU7n\n1LINnwTNzY1RpLHh8zh1qu5jGZmJRS8Afr8HQVCjVuv/IQ3NZ3RNduBqk8mUBcQB7cCGqX4wbWT+\ngSCGOmLPMGUyGcnJKajVhtE8yBjRpUKhxul0Ul4+m4SEBLq6umhubo7SOPH7/Zw6dRKTabbEHNDU\n1ExxcSGZmZkfen69vb3MnFnMnDmVeL1jRQ4ajYY1a9bw9NNPS8ntWA1+ICapbTYbubm51NTUjJYG\nB0lMTGTWrFnk5ESricpkMrxeL1lZWVLexuPx0N/fHzGAqtVqiouLycnJweFwsHDhQon0MhQKkZCQ\nMOlA7Pf7mTt3blT4ymq18sorr1BWVsYPfvAD5syZQ15e3rhzE/8eHLSyfv0fOHBAZEVOTU1l/vz5\n6HQ6BgcHEQQhImQZfjZyuZy0tDQGBwel0GBWVhY/+MEPuPjii5HLBRIS0pDLRSMzftyJizOydu1a\nvF4PGo1GEhebiHA4cfz9/CxhsfRMGmrs6+uV+nc+Cvx+b1TRC0Ag4MHvV07J8n2+4rN4TmazuQuY\nXL0vBqaNzD8Awu9SuDIoWvdFHECVSsXobFqDUqkhFApRW1uDXA5VVYu48847kclkUgL7tddew+fz\nsWjRIjIzMwmFQrS1tXH2bAOVlQtoampgx463OHnyBDabDaPROCWHWW7uDK64YiUOxyAu17Ck+w5w\n8803k5GRwWuvvYbNZicpaTCKkaCwsJCcnByMRiPBYDCCOmdwcFBimJ6IUChEf3+/pFMTRlJSEg0N\nDRGGRqlUcvnllyOTySTvITk5eTS3MXVvhk6niyk+FgqF6OrqYvfu3dTU1LBq1Srmz58vrXe53Hz7\n2//KiRO1CIIgnW9/fz+rV6/G6/VGDKrBYJCLLrqImpoahoeHUalUpKenEwqFSEpKYsuWLeTk5Ej5\nFb8/gNvtIRSKHrhlMpEVQaPRUFlZycGDByMMvEajoaysbEKV3scX1DsXzJhRgFKpiily53K52Lbt\ndVavjubWmwqiTPjk69RqvdQTNV5e4HzG58U7mzYy5zFkMlAoQC4XSSTPnj3F7NmzOXv2LP39/dJs\nUAzzpKJQjFUOvf/+Pn784x9y7NgR/vrXv6JSja0TBIGCggJWrlxJfHx8RE6hqKiInh4LDQ0n+fOf\n17N3714pma7VaiUG34lQKpXcddda2tsbiYszkJ6ejkajwe/34/f7cTqdzJo1a5R2X8bs2XP54hev\nw24XaWoyMjIoKChAEARKS0tj6q3Y7XZ8Pl9UhZRIKx89801ISCAtLY3e3t6oc524vd1u5/jx46xc\nuTLmxysIwugA5eX+++9nxowZDA4O8uKLL+JyudDpdGzfvh2AV199lbVr13LfffcBcjZv/gstLU3k\n5uaiUqkk4TOLxcKpU6e49tprI85HLpeTmprK1Vdfza5du6Tzz8jI4Omnn46iEFIoBLRa9aTeYRhp\naWksXbqUhoYG2tvbCQaDLF26NEKR1Ov14/V+ton/zMxsioqKYzI4KxQKGhsbGB52SNRBnwRKpZKU\nlDFKo7ARtdtdf/NKuk8b07Qy0/jEUCpFAwOiPLDF0otSqaSsrAyXy8Xg4CCBQACfz0dGhiilGwqF\nGBqy8fDD99Pc3ERWVhZLliyJuf+SkpKYg3l6eip1dTUcOHAgolorrOE+c+ZMWlpaJK/GaDSyevXV\nmEwl6HQa0tLSpA9AoVBIWvI7d+6UCgCKiwsoKyvl0KFDhEIh0tPTpXOZTBLAYrHQ1NSEyRRJq+Jw\nOCad1RkMhggjY7fbJ+WxOn36NCUlJeTn50fsTy6Xo1AoqK+vZ/PmzRHVaX6/n02bNkXsJ1zVtWbN\nGpKSkqirO0ZaWlpEKM5oNKJQKHA4YhtIgMrKSsrLy2loaGBgYACr1RqzoRZEI6hUKqNyN8FgkE2b\nNuH3+7n66qtJTU1l3rx5qNVqOjq6EAQVPp+fUAh8vsCH5mLChRaftNz46quvp6GhXpooCYJAcXEx\nSUlJqFQqjh79gJycfAoKis9pxi6XK4Hoc09KSoqoqBQ9WAUGgxqHIzaN0vmC896TMZlM95rN5v/5\nNE9mGucOuXzMwISbBsdDq9Uik8k4dOgQw8MjFBcX09ragEql5vTp0/zsZz8lLi5uVKEw9qA92eAW\nTmCHq7Xi4uLIz8/HYDAQCATweDzcdNNNHDlyhGAwyPLly7n66uuxWDrJzEyf1KtISkqiv78fjUbD\nL37xcw4ePCitH++dTBWSW79+PRUVFSxatAiDwcCZM2fwer0RxQDjMb6qbXh4mLNnz0YoV0687i9/\n+cusXLmS22+/XcpDdXZ2smfPHkpLS6MM3GS6Mg6Hg6eeeorHHnsMp3MkZq5Ho9FElBzHgiAIlJWV\nMTAwwJYtWwgEApOqasaynadOnZLUMTs7O3n44YfR6/V4PB4SE5MZGZncqIRCIVpbm7DZbGRkZLNu\n3RPs37+P4WEHZWWz+MpX7v3YnGU6nZ6EhEQGBsT32mQySf1RIBrvlpazyOXCObFiKBTqiMoycZli\nUmM4nv/ufMV5YWRMJlM0YdQYioFpI/N3wvj3x+FwRPV/VFdX8+6772KzidVKtbU1rFixgn/5l39h\n9eqrIgY1j8cTM5cw1UsaPp7RaGTu3LlRv/f5fFx//fUoFArKy8slvY9Yg6nT6eS9996jo6MDp9NJ\nVlYW27a9GbHNyMiIpA9TX19PUVERSUmRzLs2m409e/awefNmQDSSeXl5rFu3LmayOBAIsHPnTgRB\nwO12S7IAarU65v3o6+vDbrezefNm3n///ahkeFVVVdRvYpVmh1FXV8evfvWrqPDe+H1Otm4ient7\neeihhyY1MsFgEKfTj0wGDscg/f19NDU1sXv3bmmbzs5Odu3axZIlSxgedmEylU96vJ6eLrZufYWO\njjYCgQDbt2+nuXmsImzv3vc4caIOnU7P5ZdP3p81GQRBoKSkjA8+2ItGo5HkFybCYuk+JyMjk8lG\ni17cUom4RqOdIqQkk6r+zld8XozMhwXtHMAPgcPAfuBno3/2AS9/tqc2jakQDI59AAkJCRGDUX9/\nP9u2bZMMDIi9KIcOHZLCMBMx0Uh9GC16MCiW9M6YMSPmgDwwMIDX6x2l4C9ArzegUCijjuNwOPjj\nH//Irl27sFgsDA8P09DQEFWt1traKuV6AoEAu3fvpq2tTapGs1qtbNq0KYLjzOPxoFAo8Pv9UXot\nHo+HPXv28N577wFiGfUXvvAFFi9ejM1mi6JwcTqdNDQ0cMcdd7B27VpSUs6NUHGq8FVGRgYWi2VK\nmv8TJ07gdk8dtrHb7Zw8eZKFCxfi9Xqjnp2YZ/ATDIYIBGDbtu0cPHiQvr4+ioqKKCkpobi4mEWL\nFiEIAm1tHRQVlU06SAWDQV599WXa2loIBoN0dHRIvGnjMTho5dln/zTluU+FlSuvYsGChaSkRDMR\nhOH1es6Zpl802lo0GiMajZFQSIHfH/s9DwSC57WBAfF6P86fTxsfFi77htls7jSZTLeYzebvjFu+\n3WQy/fpTP5tpnDPC4l+CIIZV0tLSJNne3bt3xyR7LC0tjeClCiMshRxWRWxoaMDtdnP77bfHOG4I\nt9vLli1b8Pl8k4baQqEQdruDCy+8mPj4eLxeB3FxCdhsNrTasRnku+++S0dHtE7NrFmzOH36tGQo\nnU4nx48fZ9asWWRnZ6PT6XE4HMyePRuHw8Fzzz3H4cOHMRqNUhJ+aGgIh8NBd3c3u3btwuVyceGF\nFyKTyTh27Jg083Y6ndJMOS0tDYPBwPr164mPj0ev14+Wd5ezfv16qQiit7eXTZs2sXXrVul6W1pa\notQ4b731Vmpra6mtrY1YnpubK4XlJgvZDA0NYTabaWvr4NJLL6Wjow2fz4tarWZgYACfz0dfXx8N\nDQ1cc801Us7N5XKhUqmQy+USdY7P50MQIBAQpRVaW5ujeOXCMth2uw23201mZm7M0t5Tp+oixOss\nFsukHltbW7TxOVeIvHo30dfXy4kTR2MaE7VaEzEwCsJYGFkUx5v6GC6XD4NBHrGPQECUuDjf8Xnx\nZKY0MmazOSx0UmYymVRms9kLYDKZ1MCcyX85jb8FwpQkcrmoBimTyeno6KCxsTHm9ocPH56UL8ti\n6eO6666VGIONRiNFRUVcdNFFEdv5/X5+8Yt1bN/+tvT/yVBSMoucnHzp/0lJ6QwNWbFaB9HrdSgU\nCtxuN3fffTdZWVm43W5Onz7NW2+9hVKpZObMmRw9elT6fbhc96abvsTy5VcyMNBLZ2cbCoWLvr6+\nmFT7mZmZnDlzhuTkZA4cOBDToE0MLyUnJ7N27Vr2799PV1cXer2ef/3Xf43w2NLT01m7di1ms5kz\nZ0R10ddff11iSg5DJpPxxS9+kaqqKrZv347T6SQtLS1iG51Oh06no7u7m7i4OElaoL6+HkEQKCws\nYfbsuWRn52K3i31BZWVl2O12hoaGuP322+nu7sbr9UrVabG0fw4fPsjbb79Faakp5vr+/n7sdjtx\ncXF4vW6s1j7S06NLwm22SK608dVnExE2um+++TobNjxPZ2cn6enp3HTTl7jxxpsn/d14pKamk5aW\nQW9vd9S69PQxj1epFI1MGHI5uFzDPPLI96irq0WlUrJ4cRXf/OZ3JcPudvsIBoNoNErkchmBQAiX\nyzeph3M+4bwwMuPwMtBqMpmqEbv9LgR+/Jmd1TTOGWNjvEBjYzP79++ZNDEeJpO88MILo9ZZLJYI\nSnqHw8FVV13FI488wqpVqygqKiEYDOL3e6VEMYh5iuTk5KgXOiUljQsuiDRQACqVhs2bN5KSEk9z\nczPf+MY3SE1NldYXFRWRlpbGn//8ZwoLC+nq6qK/v5/ExERKSkr40pduZcGChchkMlJSMvD5vMyc\nWSBRy4ShVqt58MEHKS8vR61WSz0ke/fujbg/KpUqikVaqVSiUqlYtGgRWq2WqqqqmCFBg8HAihUr\nJCPT09PD5s2bWbJkCVqtlqGhITo6Oli4cCFr1qwhIyOD/fv3x3w2ixYt4vHHf4hcLsPv90tG4D/+\n40dUVS3C4egH/JL34/f7CQQCpKWlSZVl/f39URQ24UmFz+djx463USgEOjs7Y3pPwWCQwcFB6Rge\nj+gNDw876OwMe1EasrNzpEo1UdSsgu7u7ihNHpVKxZo1N7Bhw/N873vfZXhYvO8nTsD+/fvo7+/j\n61//PzHvx0SUllYglwtYrf14vR50Oj3p6Vnk5hYAonGZmIqSycQEfn39SY4dOwLAwYMHOHGijuef\n3yi9s17vP05vzHicV0bGbDb/xmQy7QYuR5Tv+77ZbK77DM9rGucAUYDMQygUxO32UFNzjEAgMOXL\n1d8vhsXCeZlQSAwpbNnyatS2VquVb3/722zd+gabNr2KSiV+uOPpXtra2tDpdGRmZo6jPpExe/ac\nqDh6a2sL3/vev3HmTAOrV6/m2muvjTAwYVRWVjJz5kyWLl3KI4/8kOrqA2i1apKTUykvr4yQP9Bq\ntSQlJbFkyRKOHDkiLf/yl7/MggULpP/LZDLS09O5+OKLpX4VhULB4sWLYzZZDg4OkpCQQFlZWRSl\ny3iE+b4SExPJy8ujrKyMgwcPYrVaCQaD5OTkSJVtl156KWazOaoSMC8vj9Wrr2F42MXLL2+ivv40\nCQmJ/Pznv2D58qUEg37kctloGa4IpVKJUqlkeHhYeh51dXWEQqHRvg+xL8blcpGcnMyhQ4eoq6tD\np9NRWFg4RVXV+Gcmw2LpoaHhRESOSqPRUlo6m7a2ZvR6PQqFgttuu42uri42b95MX18feXkzuPXW\nO7jttjtYtWqpZGDCcLtdPP/8M9xzz73nVNwgVtFVEAj48fl8qFTqCb1DsX+n1WpZsWIFhw4dkpbt\n3LmDN954jauv/mgNnecbzisjAzBqVCTDYjKZHjCbzb/5TM5qGh+KQMCHxzMyros7yLJlS3njjTeI\ni4uLSQ9SUDCTyy5bjt+vkJKa4QKCnJzcqO1nzpzJPffcw+LFl+By2QmFVGg0GvLz8yN4xurr62lp\naSEtLQ2v10tvby8HDhwgGAyxYsUqabunnvqNRHY5MjISQa8yHhqNhkWLFqFQiLPm7OybJr0PWq0W\nQRB45JFHaGxs5K233sLn8zF79uyY22dnZ3P11Wvw+4M4ncMxK8I6Ojr42te+xsGDB1EqlTF1XMIo\nLi7mZz/7mZTvGhlx8j//87/I5QIGg5EVK1ZKebCkpCTuvPNOdu3aRUdHB4IgEB8fz7x587DbbVx5\n5UpuueVWHA4n8fEJaDSx5ZjDUCgUqFQqaTAJk5EqlUp0Oh3Dw8Pk5s7gwIEDPPvss4CYf7JarSQm\nJkYNQjqdLoIVQalU0NraGHX9breL9PRUhobG3jFBEMjNzeXRRx8jISGVqqrL0Ov19Pb2YjbXxzx/\ns7mehoZ6Zs8+98i7ICgQhEjuOJVKQOTCi50XmpifDAaDHDjwwbSR+RvhnIyMyWS6GngESEOsSJMB\nicC0kfk7IEz2N54mRBDkzJo1C6vVitVqpaamJoJeJiEhgbvvvlf6QCcmRO+66x7+8pcXOXVK1HIv\nKyvjd7/7nSQGFgj4GBnxEQgEuOWWWzh16lRE9Zrb7Y4gyRwasvHii8+xbNlKQKzmqq2tidh+qg70\n7OxcDIaxEuVAwE8g4EUmk6NQqKUPSKXSEQwGUalUPPfcc+zbt4/9+/fH9JDCuOqq1RiNSXR3d7J9\n+1YqKiokqpr29nbWrVtHaeksqerL4XCg0+miiib8fj92u536+nrOnj3LypUrUSjU3HHHPdI24TLY\n8PeemZkpqU86nU6ampoi9ulyDVNQUITf74ngd5sMgiCQmZkZ8Sx8Ph9DQ0MIgoK0tCyeeebPEYn5\nzs5OtFotaWlpkheh0+lGmaFFl0BcHsLhGIp5XK/XIxGPjsfwsINLL71CKgjR6/UYjcYIQb4wdDo9\nev3H79rX69Wo1QoEYazAwe12RxQIdHd388wzz0T91mCIXbDyj4TzreP/P4EHgEYggGhk/v2THtxk\nMi1HlNqzACGz2fzDT7rPzyvEJkUXSqUKpXLy8Mu5QAyRRceQm5ubGRwcZM6cOWRlZXHixAmGhobI\nzc3jG994iPLyyWeMOp2O//mfP/HEE49TXX2QBx54QDIw4+HxeKiqquKJJ55g06ZNNDU109nZEbO6\nqL7+FK2tLaSnVxIKBQkGx875zJkz1NbWUlFREfUxeDxejEYxYRyLPdfnc6FS6REEJSdO1HHqVA1a\nrYalS5dSVVXFJZdcwoEDB2KKeYlJdjHnkJmZzfz5F/PYY/9OSUkxvb29bN++ncTEZO6//wFpBh8K\nhbBYLCQkJEhhJr/fTygUQqlUsnv3blpaWtiy5a9cf/0NrFx5lUS9EgpFGpnxiJU78/m8BAJ+Safn\nwxAIBNDpDGi1elyusYFcLpeTm5uPwRBHeXklTU2RxSBnz56lo6OD5ORk8vLyuOGGG6QBOuwJxapQ\nDCMUCsWs9gqFQgwODpKVJXrGBoOBxYur+OtfN0dtq9Np+dWv1rFgwYXcdttd53S9YWi1SrRakaa/\ns7OTQ4cOEQwGmT17thTCdDpdPPHEE6NURWNISUnlzjvv/kjHOx9xXnkywEmz2bxj/AKTyfSJEv8m\nk0kHPAXMNpvNHpPJ9LLJZFpmNpt3fpL9ft4gkh32SJriMpkcnc5AamrWlFogH7bPiejp6eHIkSP4\nfL7RpHjKKNGjnDvu+Io0OCqV8tF+ieh9lJSYePbZDQwPOwiFYoeIwiXMF198KYsWXcrgoJ0bb7xa\n4hgbj/Ed1RqNFpNpFh98sA8QK5IOHDhAfn4+F1xwgcQw7PF4sNlshEIqBEGBz+eKYs8Vc1AOnnnm\nOQ4fHlO6fPvtt7nllltYuXIlhYWFHD9+PKr6zWAwEAoFpYT4nDkVrFixik2bXmJkZJi8vDzKyysQ\nBDm9vb2kpaWhUqkkFU4QP96wDk0gECAxMVHyet58cysFBTOorJyH0+nB6w3g84mVT2Fa/2AwNCq3\n7USlUkmDus/nY3h4BLlcGJWGVhAMTl69FwqFsFqt/PKXv8Tj8TBnzhzKysrIzs4mP7+EhATRE7zh\nhpvp7+/j6NHqCO/W7XbT2dnJnDlzUKvVUXkarVaLwWCIKbkwmZFRKpVkZUVWpP3kJ79gYKCf99/f\nJz2PhISEUa66frZv34ZMJuPhhx+c9FonIiyt/cYbb/DOO+9I17V7927mz1/AmjU3IJNp0OvjiY+P\nZ2hIfD+zs3P4znceITs7umpuGp8NznWUazOZTH8C3gfCX/wdwMpPcOyLgVaz2Rze335gNfB3MTKh\nUIj29lYGBvopLCyZlFrko8JqtTA0NDaTCoWCjIyI/FhZWTOm+OXkEPmkIkNNTU1NMZv6QiFR2XD+\n/HlotSoUCkEiARwedsc0NgaDEZfLFuF5RB5fhkwWoLW1HUHQUFk5l71734varqJiLllZY0JY99zz\nNZqbG3G7XRQWFhIKhdiwYQM7d+6koqICl8tFfn4+OTk5yOV+tNo4SZJgInbs2M6BA5GVWna7nY0b\nN7JkyRIKCwvRarWcOXNGatBMS0sjJycHu70ftVqDWm3grbfe4sUXn5W8lmAwSG3tcTweF0VFM2lu\nbiYrKwu1Wo3b7UYul0uU/36/nz//+c/YbLaI4oDnn3+e4uJiDAYjNpuTYDCE1ysamN7ebmSyABkZ\n6aSnp0seYNib83q9hEJyAoEggUB4NhoafZbi3zKZbFQ7qI8zZ85QUlJCTU0NNTU1tLa2kpWVxZVX\nKpk7N2n0eQncd9+DHD58iOrqDxgasjFjRh4ZGRkEAgGJb2zipEcmk5GXl8/Zsw0TEv8a9Ho93d3d\nUe9cbm4BiYmRTAzJycls2vQq27Zt5cknf4FMhqSvE8axY4djllVPBrlcRktLC9u3b484N7/fT3X1\nIXJy8pk7dwH/8R8/4e67v8prr/0VtVrNbbfdSVxc/BR7/sfB+ebJ3AxsBxaPW/ZJpwJpiIwCYdhH\nl02KxESdpMT4SZCaGhkH7u3t5YUXXqCpqYlAIIDRaGT+/PkRmu4fByLFe1PMdW73CHq9ECVrfK7n\nPTAQiAi3TBXaSEjQYzSOVWSFSQCTkgyT/sZq9WG322OuC8e/k5Lieeihh9DpdBQVFXH27JiSYWFh\nId///iPSOaemGrnwwkpmzxaZlscPaBaLhXfeeQcQCwJycnIIhfwkJeno6bETq89vYrlsGDabjTff\nfJNFixZJlPidnZ14vV66urqoqanB5/NJDaxvv/16zMS+2WympqaGiooKgIhJx/DwMC6Xi8bGxoiy\n7zA8Hg87d+7khhtuIDl57B6LeathiouLpWUT369jx47x5ptvYrVaWbx4McnJyRQUFDBjxgy6u7sZ\nGhoiEAhgt9vRaDSUlpZSUlJCTk4Ob7zxBi6XC5fLxZEjB1i+fIkkqrZt2zZOnjyJVqvm+uv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pQZa7VazcUXX4zb7WbWrNlUVVXT3d2VtHgiLS1N2nGazWaWLVuGUqnkmmuuSdkz0tfXx/PPP8+4\nceNS7la1Wh0zZ87k2DErfX29CcdVKhUZGRnk5+czadIk1q1bR29vL7FYDLPZnJL7LS7kVlRUJHld\nSqWSjIwM0tNN3HXXt077G0p2X2F4NdZPC71epJwJBsMIwjkd2T9rOJtGprq62gDsAN61Wq0/GO7c\nz8Zrch7ghhu+ygsvrGTnzh2y8fLycu66655/2TxisaGaL2cGCoWCSy9dyKWXLkx5jlh0cOrrxHGN\nRjus1Go8N3Hq4h7v80lPT2fJkiUJzXtKpRKPx5UwNm7cOLKzswkEwqxa9TKNjWIhRn9/f4Jx2LFj\nB8uXL2f27Nkp2Y9PnVdRURH9/f0J4/GFX6fTodfrSU8XGyMzMzMHwkk63nvvPSZNmoTVaiUnJ4eP\nPvqIffv2ce211zNqVLl0j+KcXKfmI9ra2pKW0CqVSurr65k7t573338fm60j4Zw4TjU+4XCYN998\nk9mzZ1NUVIRer5e6/O12O7t27SIjIyOpxk0c5eVluN0O5s6tp7u7S9bTk5GRwfTp0yWOr1AoRGZm\nJlqtFq/Xi8fjwev1JmW9CIVChEKhBOOWk5PLr371CBaLaNTjqq2nQmTWSGxgBaiqSgiafGrodCrS\n0nRS03ZamoZAIILX+8nZBL4sOMuezC+BvZ/kxC+tkVGr1fzP//ydBx/8GTt2bCMUCjFx4kX87Gf/\nl4qKUae/wHmOVOFYpRK8XjfBYDhpGTGIGjHJqu1AXADVajXl5cm9wWShK4VCQXFxMWazhd/97jfS\nopyKhbmhoYGRI1NT7mzevJn58+dLRiMrK4sxY8bQ1tZGT49Ykq5SqQiFQnzwwQdcd9110rmD90FJ\nXV0d27dvx263s2TJEubPn09zczOvvfYaK1c+y9e/fht9fX2o1WpaW1vxeDxSibRCoUAQhJT3CUQ6\nFbvdzo4dO2hubmbcuMQcX5wTLX5fo9EoHo8Hh8PBu+++i0qlQqPRDpBmKgkGgxIr9HCIa9hkZWXx\njW98g127dtHX10dubj7z5i2kvb0Fp9Mh3QtBECT+sszMTJqamgbKyeWw2+2SoRmKUaNGSwYGRG99\nqBRyHLEYBIOJz0ht7TgmTZpEb29q5ulIJILT6SQjIyPpc6tQiMzMQxkHxDyhhkhESPq+X2acrZxM\ndXX1rYg0YBOA1LQhA/jSGhkQy2b/+78fl3E+nanO3HMdqZh/I5EIra0n8Pl8qFSikNfQh9HhcEgN\neakQpypJBr1eL8kAx5l8g8EgCoWSnJxcSktLUavVWCwWurq6UtKCDCfpa7PZ2LBhA1dccYU0lp6e\njsPhoKenRyZCptFoUvLQHT9+XMahpdPpGDNmDNdccw1FRUWkp6fz6quvEolEpLzMoUOHyMzMxGAw\n4Ha7h9WaaWpq4sCBAwiCwKZNm7jooouoqamRnWO1WonFYgmMzMFgkLy8AoqKSrDbbdhs7dKx4cqd\nAerq6pgyZYr0t1qtZvp0sVLSZDKTn19Efn4hDkcvfr+P7OxcmptbaG8XPQylUilJVhcXF0u9QHa7\nnZ07d0pSAnFotVpmzUqs7gqHkYTu4lAqFaxYsYJ1697DZmtHrVZRVVXFvHnzUCqVkjTCUMRiMR55\n5NesXv0a7e1t5OcXcNllS7n//gdkBkWv1yaltFEoFOh0qv91RuZseDLV1dW1QI3Var2vurp6wid5\nzZfayMRxriTAzjREYsMwGo02YdciCMm9GYfDgdcr7hZFVUsTWVmZANhsHTz99P/Q3JzYeBeHVqsl\nHA7T3NxMdXV1wvG8vDwpbj90Z97fLy6i3/72t1GpVBgMBjo6OnjzzTd56qmnZNcwm83ce++9RKNR\ntm/fTl1dHSdPnsRms6FUKqmurqauro68vDxaW1t599132bt3Lz6fj0WL5I2AkUgEv9+fNLTU1NSU\n9NmorKykvr6e3NxcCgtLaG09ISsI6e/vl6qpjEYjRqNRuqdx+Hw+WShw5syZPPTQQyxfvpxRo0Zh\nMBikhtJkc4hGo0ybNouCgkL27/9YZmTioa1kBq60dCS33nor3d3d0tjhw4dZu3YtPp+P2tpx3Hvv\nDwYURQc9jxkzZrNmzetS1WIgEGDHjp0sW3YVXq+Xkyeb6ey0U1ExGputHZfLhSAIFBeXUF9/aVIj\nkyxkK44rWbp0CUZjMklrPW633Dv8zW9+xSOP/Fra2Ljdbv7wh98TCoX45S8fks4b7mf+ZV0DhsNZ\n+sxXA4Hq6uofA7MBbXV19fesVuvvU73gf4WR+bJBEAS6uzvwet0IQhS1WoPJlEl29uCuPBIRf3RK\nZVw4S8yBHDggLwrs7u7GYEhnw4b1hMNhxo+/mPT0DLq67ANhnMGFLC5HHAwG2bBhA4WFhTIvIV4k\nECdSjOd2zGYzaWnptLSclIWtioqKuO222+jv7+cf//iHNH7VVVcxZswY/uu//os1a9Ywa9YsBEHg\no48+IiMjgwkTJqBQKEhLS2PSpEmsXLmSpqYmmehWHLFYTKrEOhWpwnVqtRqHQzQi9fUL2LJlPR0d\nbQQCAVlVG4g/5LKyMnp7e3G5XJIRPzXXVFAg0gu9/PLL0th9992HVqtNysEViUTIzhZzXmPHTsTh\n6KOp6SiRSBitVktJSUmC4JnBYGDZsqvJzMyUjMwrr7zCX/7yF2k+b731Fhs2fMDKlS/LmAcmTJiE\nyWRi9+6PcLtdmExmJk+eRnl5BQAXX1wney+vV8zb5OTkpGykTLXGKRQiVX8yaDQqmTcTDodZvfq1\npJ7zm2+u5sc/vp/0dNPAudGU1aGRyJkrKjhfcDaMjNVqlSReqqur9UD6cAYGLhiZ8xJdXW2yBHsk\nEsbh6EahUJCdPdi+FA6LP2iHo5uOjtaEHgyAvXt38+STj0sJbY1Gw/Tps/jBD+7jxz/+/2ho2IPB\nYODiiy/m6quvJj8/n5MnTzJx4hRCISWRSBS1WkVvby8tLS0SXXtPTw9ms5mioiIUCgV+v49AIDHe\nrtFouOaaa9izZw/jx4/nqquuYtq0afT09JCdnc1ll10mXXPOnDmy14ZCIUwmE3/9619pbGzkP/7j\nPwgEAgnVS9u2bUOr1VJaWorJZCIYDKbkPgPxx5mZKS7wer2exYuXEAx6sNvttLa2yoyTXq8fYFhI\nw2AwcPz48aQehkajwWw2S+SQxcXFjBkzBpvNJvMc9Xo9giCg0eik6j+FQsGcOZcyduwEWlqa0Wp1\nrFgxhnXr3mb37p309HTjdPbT0dFBU9MRjEatVHH3/PPPJxi83bt38Zvf/Ipf//oR2Xh5+SjKyz9Z\nvtJoTMdoPG04PinivTTJjylk4dje3p6UhQJtbW00NzczfrwYtQmHo4RCEXQ6eb4mEoni93/yUFlz\n8zEOHz6Ay+VEr9czYkQZkyZNPe+8obNcXXYtcAmiJ3OT1Wp9IdW5F4zMeYZwOITPl5xWxuNxkZWV\nK3u4YjGIRhVJWYs9Hg/btm2TSeOGw2E2b95AWVkFR44ckkJDa9euZe3aQT7U//zP3zJ//kIcDh8a\njZLm5hMyr0cQBBwOh0TvEgymTpBXVFTw978Pcny53W7cbjcul2tYxmaNRoPBYEAQBB599FH27t2L\nwWCgtrZWdg8EQeDdd9+ltbWV0aNHM3r0aEKhEOnp6UnzG7FYjMbGPdTWDi64Op2O7Oxs0tPT6ezs\nJBQKodFoiMViUuWWQqHAYDAkNTI+n0/qRVEqlXzjG3cxalQNLS0nGTFiBH6/H41GI10zO9tCe3sr\nxcWDRI/Z2TmyENfy5VdyxRWX0dPTzcmTJweYGwZ/0m+99VZCT08cu3fvTHlfzxQikUFPeihUKnXK\nBVAQYrKS46ysbPLz85Nyp+Xm5snIUAFcrgBpacKAR6QgEoni84U+cRnz8eNH2bx5/RDpbRfd3V34\n/T5mzZr7ia7xvwFWq3UVsOqTnHvByJxnCAYDKQk9Rb6xGKI69iCysy3k5RVit8vLaFtaWpJqrwPs\n29eAQpGaT0qnG+yx6eqyywzMUHg8noGQiljBlKziJVWVm8/no6+vL2URQNxjeeONNyRKlq1bt+Lx\neKQS5VgshsFgoKVFZH9oamoakCYeIRFput1uwmGxd0ilUhEIBOjoaJM8lmgUgkE/giCgVqulxkwQ\nZaSHorCwELfbLfuOYrGY1MAIMGPGTL7zne8DYn6iq6tDKhAA0Vg5HH1s2fIBV199A3q9TioHjvdZ\naTQM0LZoKS4upri4mGAwSEtLi0yALRWGo8k/U4jFoKenD7VaIamHdnZ2otVqZewUQ3GqMdDpdCxa\ndBlPPvl4wrnz5y8kMzMrYdznS12McTocPnwgaYVkc3MTF1005TN7b18EzpeO/ws4x6DT6VEqVUlV\nK9VqDacaGBAXrdraiZhMZhyOHgRBrN6y2boTzo0jHBZLvjs62hKOjRpVxYwZgyy3wy1m0Wh0IIeU\n/L0ikQjHjh0jPT09YVcKopHS6XQJjaNxjR6APXv2yGL2jY2NNDY2AmI3e2FhIRaLRTq/vb2dvLw8\ndDodGRkZZGRkDDBSR6SQYjAYxOv10tnZh8/nQaUCiyU7YQd+akFBQUEBCoUCm81Gd3c3DoeDlpYW\ndu/eLc377rv/z8B7BBCEMHa7Pek9dLtdHD68j6lTp0jegEolT6hHo1H6+vpIS0vDaDRisVgkz6q+\nvp59+/aRk5ODWq2mt7eXhoYGOjs7h9UfOlOIxWJ88MF6enq6yMvLIxAI0N/fz9ixY6msrEzqzSSr\nAPv5z/8foVCIt95ai93eSU5OLvPnL+Thhx894/N1OvuTHgsE/LS3t1JVVZP0+LmIcyW8d8HInGfQ\naLSkpaXj8TgTjplM5lNCZTHcbhcGQxoajYbS0nJKSwf7WwKBMO+993bSXW1paRkLFizixIlmDh0a\nLBbIy8vjzjvvkZWKGgzpOBzJjYhCoeTQoUMEg0G0Wi39/f1SUYDP58Nms2G3i0UG+fn5SVkIxP6O\nXOk9jx8/Tn5+vuRRDNczEveQ4sYgEAjg9XrJzc0lEolI3opGo6Grq0vaxWZmZtPQ0CCxKwN0dhol\nWec4CgoKJLr9OPLz8wkEAvz5z38mGo1y0UUXUVFRQXt7O7fddhtXXHE54TD4/V5iMWFYWpxg0J8Q\nbopvUN955x3ee+892traJIqa2bNn09zcTE1NDY2NjbIGx4yMDHJycti8eTMlJUUEg8EE6phPC0EQ\n6O93YDCkJRjcnp5uurrsQEyWDzx48CDjxo2joqIi4XrJcidqtZqHH36U++77GUeOHKGionLYMOpn\nhVjqrEtKpKpUKjGbM8/4e55NXDAyF/CZkZdXjEKhxO/3SCXMJlMmmZmDP7znn3+W5557hmPHjpKZ\nmUl9/aU8+OCvZAtBVdUYSkpGJMS7S0tHcsUVy8nIMPPnP/8Pr732CidONGM2Z/KVr9xAbq6cGzUt\nzYjRaMbrlRs+tVpLS8sJAGlRaGpqwuPxoFLJlQ3D4TBut5u6ujqZQFdbmxi2iifXY7EYe/fuRaVS\nUVhYSHZ2NjfeeCOvvPJKUk66r3/960SjUfbv34/RaCQ3N5dx48YRiUTIyMigpKREokXR6/U0NjZK\nAmBDDQyIHGUtLS2MGTMozJWWlkZ9fT1bt27l0KFDRCIRTp48yYEDB/jDH/5AQUEBBoOBcDhMLBZj\n3LhxqFQKBAFJTygVzQqQwKoQx5YtW3j22Wel0JjT6WTr1q00NzezdetWFi9enNR4mUwm6uvrcbs9\nhMOhz2Vk3nvvHTZseB+bTdT3qakZz2233S5V4IneWWIuJBaLsWbNGr71rW8NMEuI5K1G4/BzyczM\nYtq0umHP+bwoKRmZlIYnP7+Q/PzCs/reZxoXjMwFfGaIi2AxgiAQjUZQqzWyB2rVqpe5//5/l/It\nTmc/zz77FA5HL3/720rpvO3bt1BaOgKlUoHD4UAQBEwmE1On1pGRYebw4UNs2PAefX09mM1ZzJ49\nJ8HAxFFQUEJfnw6/34MgxNDpdGRl5eJ2e/H73Qke1qnek0ajYebMmbJSY51Oh8Fg4MCBA5IX4/f7\nOXbsGAB/+tOfuOSSSygrK+cb37idJ554XKqkUqvVzJgxg5kzZ5KWlobdbqeyshKj0UgsFsPn8+Hz\n+RkU9PwAACAASURBVAiHw1J+oLCwiFAowvTp09Fq1YTDYWw2G0eOHJHmFG/A1Gq1qNVqMjMzSUtL\no729nd//XqzkvOuuu7jllltki3zco2pvb5fYEvz+AKFQiJKSEvr6+qQqujiGYxPYuHFj0gKDOFP1\n0aNHKSsrS/paQRAoLR35ufILW7du4oUXBo1cKBRi27bNeL0efvjD+wAxMW+x5NDbm0hWO1RkLRSK\n4veHTmtk/hWYMmU6fr+PlpZmQqEgCoWC/PwiZs+e90VP7VPjQk7mAj43lEolSmVieOmFF55LmtBf\nv/599u/fx7hx44lGo3R0tKJQKBgxYoQsH9Lf38fGjet58cXn8HgGw0ANDXu5+eavUV+f+INTKBRY\nLHmcqgAxalQVhw83Eo1GUalUmEymhO52gGnTpiXtZUlLS6OkpASv14vP5+PYsWNUVVWh1WoJBAK8\n/vrrTJkyjba2VtmiG4lEOHDgAA0NDdTX1zN69OikDZnxvhaj0UhBQQETJ06QhQLz8vIG+kfEnEo0\nGmXjxo14PB5sNhu33HILNTU1lJWVoVKpmD17Ntdcc02C/kwcYg+NF5fLyzvvrAFiVFVVSbQ4TqeT\nUCjEsWPH2LFjBxs2bOBPf/oTpaWlsuv09CTutuPQ6/XDsgIEAgEWLbr8c+10N29ObuQOHdrP4cMH\nGTOmFqVSyYQJk9i6dbOsutBsNjNz5szP/N5nEyLn3AKczn7a21vJzMyksLDknPEKPg3OlTlfMDLn\nKJRKBSqVgkhE+NSyAK2tJ5OOe70eduzYxrhx4wmHw4RCyUkDw+EQ7733tszAAPj9Ptate4s5cy45\nrZKhz+elpaUJl8uJVquWPkNZWZlUohyHSqVKuesG0Qvo7u7G7Xbj9Xpl+ikWi4Xc3HzWr1+fsOj1\n9fWxdu1a6uvrU5JJCoKAy+XCaDSi0+kSaEnilWhWqxWPx0NfXx9vvPGGVGjwt7/9jYULF0oCX1df\nfbUkRJYKgUCADz/chN8v5oMaGhowm80YDAa6urpYtWqwMrS1tZWVK5/j/vtF7yAWE1kXcnJyaGtL\n7B8RBIFgMIjT6WTEiBEJnG3RaJRwOMK0aTNSzu+TIFlICRhgg2hizJhaACorq8nIyKKp6TChUICM\njAymTp1KZmbmwHxEiYhzDWZz5nmXgzkVF4zMBSSFQiFSa2i1apRKBdGoQDD46cpNc3NzaW5OFKvS\narUSd5ZOp8NszqK7O7F/RqvVpWQNbmlppqOjg5KSxEqwOAKBAPv27ZYSqD6fgkmTJklNkNOnT6ej\nowO/349SqaS0tHTYvITdbufQoUMACR33BoOBvXt3pewHaWtrIzc3N2X5NIj3wul0oVQqsVgSvSmd\nTkdxcTH79u3j8OHDsko2m82Gx+Nh06ZNjB07VvLG4sqfp0KpVBIKCQMJcXEhqKiowGKxDBiAMGlp\nabKGz5aWk8Qjb+npBrRaNbNmzeTAgf0JeRe/34/P50Oj0dDa2kpRUREZGRkDDbF+WltbmT27Pul9\n+DTIzMyio6M9YVytVjNihJzcNDc3j9zcPDIyxOc6vvhFowI+XzAlD96/AnFmcnE+n13n6VzEBSNz\nAUlhMullHcsqlcgi+2mwdOlydu/elaDPMX36TEmFUqFQUF1di8PRK8uPKBQKyssr2L59W0KOAEQD\ndDoG4NbWZlmFTkVFhaRPMrTHBMDlctHZ2cnevXuZM2dOwrV9Ph87d+7EbrcPhOQsCYSXcSqRZIuV\nTqfDaDRSUVHBiRMnEo4rFApaW9tYs+YNvvvd76b8TB0dHWzatCmh+zwcDiMIAl1dXQNccuK9zMjI\nwOFwJHwHWq0WpVIlGbw5c+ZQWDiYUB49ejRTpkxh9erVrFy5coAsNINoVNRIidOx1NfX09XVxZYt\nWyS5ZL/fj91uR6VSMXXqVBYvXswzzzzD0aNHpcq+adNmcNddyYXQPg1mzJjFkSOHE3Jr1dU1jB07\nPulrXK4AWq0KjUZFLCZWN36RWi9qtbwcXKUSDc2/oIXoX4ILRuZLjlgsRm+vHZ/PgyBE0Wp1mM0W\njMbU7MIqlQKNJvEr+bQPy913fxuHo49Vq16mtVXkC5s5cw6/+Y28r6CwsJjc3AL8fj+xWAS93kBx\ncRFVVVUcPLif0tJSsrOz6evr46233qK/v5+srCzWrl3N7Nn1Eq/VqfD7PbLd83CMyiqVCrvdTn9/\nP7t372bcuHFkZmaiUCjo7u5m+/btUvmr2MfglKj24/empqaGCRMm0tDwccL1p02bhkKhYNq0aQiC\nSAIaDocQBAGv10tt7UQ2bvyArq4u9u3bl5SO3+v18cwzz+B0OjEajZSWltLb20tXVxdZWVlSiKqu\nrk7KbWk0GnJzc/F6vXi9XpRKJVqtdkAHJoO8vEJycrJkBib+ebKzs1mxYgU6nY5nnnmGhQsXA6BW\nD3piaWlpLFy4kLlz52Kz2di8eTPHjh1j/PjxTJw4kenTZ1JTU8OVV17FSy+9TE9PL5MmTWbKlGkp\nv4tPg7lzF+D1etm0aQMdHW2kpRmprR3HbbfdPuzzGgpFCYW+eB4xpTKRwDPu1XxZPJpzJfGv+CJd\n1U+L7m73557sv4rqv7OzNaGXRalUkZ9fktLQ6HRqMjKS5w7cbjePPPI7cnLymDFjDqWlqfVW4vB4\nPHz88W5KSkbKch6hUIif/OQHvPPOW3R12SkoKGTx4su5//6foNGoUavVGAwGWc+Ky+Vi8+bNbN++\nnbfeegufz8esWbO49dYV5OTkU1Y2CqVSSX9/D93dNmmhEXm4NEydmpz76fjx4zQ3N0ucXqIcQy49\nPT0cP348aW6joKCAtLS0AeLNNNRqNYIQY+fOHTz++ONEo1EUCgVTp07l8ccfJytL7Ar3eoP09jp5\n99017Nu3D5/Ph8mUjkIh6q4olUouv/xyamtrpdLenp4eYjEtv//9w+Tn5zFmzBhMJhOhUIjW1laM\nRiMXXXQRaWlppKWl4fF4ZB6gIAhEIhE0GrECUKnUYDBk0NlpIxgcnjbHbrezZct2Vqz4BgBGo5a0\ntMEKLKfTmYSDTTkgNy3OQWyGDQ8UiWjO+O42EhG7+E2mDMxm8+e61r9ShkOtlkuTD4WoHvvprnem\n5p6bazpjX9C77777mdbLRYsWndGH5IIncxYQCPjxel0J44IQxeXqS2lkwuEo0aiASpW4A+nq6sJu\n78Ru76S1tYUbb7yFkpLhDU16enrS+Pt99/2QlSuflv7u7LTxzDNPAVF+/vOfJxgYEMM/dXV1KBQK\n8vLy+OUvf8mqVatoa2vjO9/5Dn6/j6qqWvr6umULmVKplHpHRo4ciSAI+P3+gQS7ApXKQFqaCRCN\nTCwWw263c/LkyZTJc4VCgdlslrwlEL3AGTNmMHp0FQcO7KempkaSMgbRSD7zzHMcOLCf1tYWWRhL\npVIxatQoCgoKePvtt9m9ezdGo5He3l4EQUFfn4OxY2ul0mOn04nNZpOkirVaraRhYzAY6O3tlaq7\nlEqxGbW1tZW6uhmMGCGKieXk5OLxpP4tu91u8vLyuPnmFdJYIBBBr9fI5Jq1Wi0ej4dQKEwspkSj\n0aPVaonFAgSDXqLRQYOnVKrRatOTaq58VqjVGll+rr29lUOH9uNyOdHp9JSVVVBbO/6cCd3EcY5N\n56zgXLnnF4zMWYDf70mZzExV0QUib1MoFMFgkC/wYg/CNulvl8vJtm0fct11p/dmToXH42bduneS\nHlu/fj0/+clPpJ3/qcjMzESn01FZWcnSpUt59dVX2bZtGzNmzKCurm4gdJQYClEoFLS3iw17gUBA\nWuDVag06nYHS0soBEkKvdL5er0/QaAGRvbiurg6Hw5H0Hufn57N48SKZkVy9ejW//vWv6ezslDjN\nhkIs5+4gPz9fCtM1NDQQDodpa2sjEokwYYJYLWW32zl69KiUi7Db7TQ3N7N48WKqq6slupuhJcTB\nYJADBw5gs9m46aavkZ9fQFdXG0olSTnbQqEQGzduRKvVMnNmPfn5RcRiEY4cOUp/v4OOjnZuuumm\ngc2ADoNBAYRPuYZPZmAABCFCKOTBYPh8HkcqtLa2sGHDOlm5ss3Wjsfjpq5u1ll5z8+K1PLQYrjs\ny4BzxcicG0G7LxnindzJoFINb9c9niA+X5BIJEowGKS5uZlVq1bx4Ycfys7r6UleTXU6dHZ2pqwc\n6+zslBLsqRA/Fs89CILA1q1bB7RkkuuzAJjNWXi9XpkHEYmECQa9aDQaxo6dSHZ2DiqVeqCkuSKB\n/LC+vp4rr7xSKiJIhmg0QlNTM263B0EQ6O3t46GHHsJms6HValN2uPt8PlkSu7JyNH19fdJYvIkz\nbnSGwuv1smPHDsnoicl95cBnjEi6L319fWzbthmfz4vPJ+qxnFpcEYlEOHr0KG63m97eXj78cCPR\naACzOY3p06dx2WWLWb58OX/84x/Ztm0nDoc3KRWLICQvCxaECNHoZyeQHA4HDjQkYduO0dR0RBJD\nO1cQjSYak7iBOY8yCMNCDJF++n9nGhc8mbMAozEDnc5AMCj/YcViMfz+1F3ccXi9IbzeEA0Ne1i1\n6sWk5+h0qUt+h0NhYREjRpQm7aUpKSmhqKiIUCg53YjT6ZS60Id2o8cbD7VaHeGwOH5qqEuvT254\nY7Eo4XCQjIxMLrpoGuFwiFgshlarIxKJcOjQfpzOfqqqKiktFQ2bQqFAo9EkLREWy3QbaGz8mIwM\nMzt37qKzs3NAIyYzpaiVWq2W/cAUCoWksROJRNi+fTu1tbVJG0lB9GjcbrdU+RaLxYjFYhw+fFhi\ngBbPsxEMisZYpVIRDAalXh23201rq1z3p7R0BHl5FtncLBYLt99+O9/73r/x29/+d9L5DFe1JQiC\nbBe/a9dOrNZDVFWNYcqUaZ9pBxyLxXA4+pIe8/m8nDx54pwjlwyHBxVkYzHx/4dpbzrvcK54MheM\nzFmAmLcowmZrJRgU8w9Op5Pt27fz2muvc8893+Haa68/7XXGjp3A5s0b6OpKFBsbPXpMwphoxDwE\nAn40Gi3p6eaEB81oNLJ06TKeeOKPCa+Pi5LFYjGpQz8Ov98v0dqHQiF27hzUI8nLyyM/v5Da2hpU\nKrGU2Ov10tbWhsfjGZBi1hCLJf8Fh8PeAQ9GLfMC1Wo148dfBIha8XHEucbixQJDkZubS3l5OY2N\njbhcTjo6xJLjuDJlKpjNZunzpqUZycgQDVJXVxcej4fjx4+TlZXFVVddlVRwS6VSSeMulxur1cqJ\nEyfYu3ev7DxBiNLf3ztQZWaQGY8TJ04kCMuVl5cn3V1mZWUxfvw4OjttFBQkcmrFpRWSIRTyIwii\nzsrPf34fe/bskvRxJk2azC9+8Z+SKucnRdzwpzo23L3/IpHMo7mAM4sLRuYsQBAEWlqaefLJJ+jv\n7yMnJ4e9e/dKuvBPP/1XFi++XJKNTQW1Ws3Spct5883V2O0ifbter2fcuIsSNNWj0QidnW34/YP9\nKf39veTlFSd4PQ888EtUKg1vv70Gm62DkpISli1bxk9/+lOAgSooJW63eK2enm6am5sJBAK4XC7W\nrVvH7t27MRgMfPOb32Tp0qVMmzZF5q1otVrS0tI4ebKdsrIRdHZ2DxumCYW8BALhgb4Qc0LI8dRN\nWTzR7nQ6CYdFSeKsrCzKysokI/TBBx9QXl4uVX6lgsVikfIpubn5TJhwMTk5eTz11JMyehiHw4HN\nZksqSVBSUkJaWhput5tAwM/mzZuTGsHi4mK0Wg1paWmyDYDBYGDChAl0dHTIvMRUCpIg9lB9+9t3\n0d7ehkqlpqKigptuuoXbbvsqarWeUCi5uB0IRCIBHn74/7F9+1ZpNBwOs3Pndn7721/xn//525Tv\nmwpFRSX09ycqjubm5lNQUPypr3cBnw8XPJkvKfx+H++99xZ2u41Dhw4kXWi6uuysXfsGN9zw1dNe\nr7y8krvvvpeTJ4/Q0dFFdXUtOTmJOYmeHrvMwIBIE9/TY6O4uFw2rlKpeOCB/+AnP/m/9PXZKC4u\nStiFKhQKotEIen0mFosGrzdAc3Mzr7/+T/bu3UNRUTG//vVDVFZWUlRUlHQRj3fKi4qPumGNTDgc\npK+vm1gsRn+/SMhpsRQMzDfRyCgUCgoKCsjJyUGr1aLX62Wel8ViobKykmg0Sm3tWFyu5FxiIPbS\nTJo0icLCkWRmih378XCXRqNh1KhRKBQKjh49ys6dO0lPT5cVR5jNZmpqajh27JhUfbds2TLWrFkz\nUOE3G61WS1dXl2RAki0ABoOBvLw8Tp4cDGV2dnYmFfgKBoO88847bN68URo7etTKhx9uQRCCXHHF\nV1AoIBwOIAiJ9bgej4c9e3YnvR+7du3E6ez/1LQq06bNwufz0tp6kmhUfM+cnDxmzqw/Zxa8C/jX\n44KROcPYuXOr5HUMh+G4rU6FSqVi2rRpKevw42GyZPD7vQQCfvT6xP4brVZLYWGigYkjHqbRanWM\nGlXDqFE1LFy4BEEQ6Ovrpr9f1JAZjhImXo6tUmnRaNIIh1MXB8QhCFEcjh60WsOARk7qcyORCMFg\nMIFuBsSya7PZzFVXLef5559P6L4HcbGvrKwkPT0Ds3nQcIRCIYqKirjkkkukUM+ECRNobGzktdde\n49///T4yM83EYlEKCwvxeDx4PB7Jy6mpqWHUqFEIgoDdbue3v/0tDQ0NRKNRJk+ezHe/+92kfSWn\nznHHjh2UlZUlMCW88sorvPvuuwmv93jcPP744yxZcg2CAI2NB4AItbU1srBbfL7J4HK5cLlcn9rI\nqNVqFixYgt3eQWenDaPRREXFqHOmKfB/G84Vw/6FGJnq6molcCfwIHCp1Wrd/0XM40xD7PEQDUwk\nEiE7O5v+/v6EaqScnBwuv3zpGX3f4dUpw0DyJk+FQpM0GS4IArFY8n4Ksfdl0CsZTnRraAJao9ET\njQaTljlHIpGEkuRdu7bx8cf7uPPOO8nJSb7g/f3vf+enP/0ps2bN4qGHHmLixInSsXgi3mw2M3Lk\nSKnKaygKCgrIzy8kJ6dgYL5iI6fT6WDcuHEyA2wymZgyZQrBYJA5c+ah0aiw2+XKoUO/B41GvLff\n+c53+OCDD6TxxsZG9uzZw7PPPptAkVNSUkJ7+yAnWCgU4qWXXqKuro6cnBx6enpZs+YNHn744ZRl\n8vv37+fVV19k585t2O1ijmfEiBEsW7aMCRMmAGLuauTIkTQ1NSW8vqKiksLCooTxT4r8/CLy8z/7\n6y/gzOBcMTJf1BZjIrADOP229jxDJBKhqamJXbt2ASLrcGFhobSb0+sN3HDDzUm1yT8rRMqS5KW5\narUGgyG1boggQCQSky1YghAjEAih0yV6B3EoFIOPjs1mS6p9Eo0K+P2hIa9RoFYbOFUiOhqNJt1V\nnzjRzK9+9SAzZ9bR0ZHoHTY3N/PYY4/hdrt5++23ueWWWzhy5Aj79++noaEBv98v/dCuuuoqSSIA\nRC9u5MgyfvCDH1NcXI5KpcDv78fv78fn68fr7U/K3KzT6ZgxYybZ2RbS0zMSckdOp1NmaN5//302\nb96ccJ2GhgaeeOIJ2ZharWXatGkJSfJQKMSWLVs4fvwk5eVj+OMf/zgsqWRaWhpvvvmGZGBAZHN+\n8cUXpYo5lUrF0qVLE6oItVody5YlL264gPMLCoXiM/070/hCniSr1boXoLq6+ot4+7MGhUJBR4eN\ntrbB3a1SqcRkMmEymaiqquGyy5YydeqZV/fLzLTQ1ZXoJWRkZJ02XBGNKgdKOUUlw2hUiVKpR6GQ\nl3cOhcmUgdstJnnjhjVOLa9QiBIFPl+QaFS+GGo0OpRKFZFIYIByJUxPT09STyy+y+7stLF06RLW\nrVtPVlYG3d3d7Nq1i0cffVS2E9+/fz9//OMfufHGGwc+12CFnMlk4qabbqK/vx+n00kwGKS+fhFG\nYzqhkJ9weGi5eYy8vFxmzJiR1ECMHSvymykUSrKz8+jpsUlhLo/Hg8PhICsrG6VSwfr165PKWwPs\n3bsXQYhx8OBBenr6WLBgEenp6cybN49NmzZJhSJ6vZ4xY8YwefJ0XnnlxZRhrjh0Oh0+nzfBgPT1\n9bFx40aWLVuGQqHkhhtuISsrn7ffXkNXl53c3DwWL17KFVdcOez1L+D8wLniyZw1I1NdXf0OkJ/k\n0M+sVuvqz3LNrKw01OrPT4mRm3v2yin7+5P3CqjVar773f9DZWXlZ772cPPOzTWRlZWO3W4nGAyi\nVqvJyckhLy+5kuVwEARB1pkP4gNrMBiGJNdNKBQROjs7iUajuFwuDh8+TGlpKQUFBajVStTqGJFI\niN7eXtLT5RrwgiCwceNGmpqacLlcGAwGCgsLpaqxI0eOsGbNGrRaLaFQiKamJh577Pc88sgjfOUr\nX+H9999POnebbfh8WGZmJiaTCavVisvVzfe+dw9KpRKVSkVlZSU33XSTlCvJz8/HbDYnCJBZLFnS\nd5Gba6KwMAe73T5QGWeSiiCi0eiw8sbRaJQf/vAH7Nu3j0gkwhNP/JFrr72WH/zgB4wePZp9+/YR\nCoWoqanBbDYPME0P30gZL4Boa2ujoKAgIVcViUSwWCzSZmDFihtZuLCeaDRKcXHxJ8qfBINBPv74\n44FKx3EpaWriUtnbtm0jFosxZcoUiZooFc7mb/Ns41yb+9kwMgOpjjcQI1FaoBL4htVqTdlte9aM\njNVqXXymr+lwfP7o2tkk4YvFYimb9SKRCB9/fICMjE+/6MMnnbeK7Gx5LPyzfNZk5IGxWAyPx0co\nBI2NH3Ps2FFmz66nuLgCt1tchDMyMlGptHR1uQgGPbJqMvG+qDAYMlAqlaxZ8w86OweZB4LBIG63\nm76+Pk6cOMEbb7yBTqejsLAQv99Pd3c3vb399PR4ho33D2U1FvXjwwmFDQ6Hg6NHj/KLX/wClUol\n/Rh3797Nxx9/zEMPPURmZiYajQaLxSIzMm1tbSxadBn9/W6i0UEPLz3dgkYjen5x4xyLwR13fJOn\nnnpKIrLMyMhAr9ejVCrxeDyyPpquri6efPJJCgoKuPXWW5k8ebJ0791uP8FglEsvXUJe3i8lPZqh\nMJlMWCyWgcrAKA6HI8HI5OeXEAhAIOChtbWFPXt20N0tskdkZ1uYOPFiKitTRxg+/HATO3d+KH2e\ngoJCFiy4LKHRMhaLsXLlU3zwwXuSJ/fmm28ye3Y9d9xxT9IF8F9JkHmmcQYJMs/AbEScRU9mm9Vq\n/SVAdXX1P4FrgOdTnXyh7OMMQqFQkJOT3IgYjUaqq8+tjuehUChEw6LRJOd0EhHjxz/+PldcsYi7\n776defNm8rOf3UdWVg4WS56UnwiHA0nLlaPREPv27WLz5vUyAzN4PMr+/Qd47rnnpIVdqVRiNBqx\nWCxSmHHFiq8nLeOuqKjgqquuko3FF/T4Dy5O17J69WrZeBxHjhzhpZdeks5dv3497e3tdHR0sH37\ndnbv3s2oURUolTEUiggQ52ETDUwwGMTlcuF0OvF43FgsFr7//R+RlZVFTk4OFosFo9GIwWBIkceK\n8uabb0o5l0gkitcbJBgU3ycvL5fbb789gcC0srKS3//+9zKv4lRvtKJiFPPmzQdEldQtWzZIBgZE\ntcutWzenpCw6cuQQ69e/I2N+7uy08cYbryfwzDU27mX9+nWyUKEgCGza9AHbtm1Jev0LOPdhtVqF\nIQZGDZQA1uFe80VVl2UB3wbMwF3V1dV/t1qt27+IuZxpzJkzl+bm44TD8kX2oosmk59f8AXNKhEd\nHW1s27aZrq4uSktLWbLk8tNS1SiVCk6ebJEWx+7uLp566i9YLDn88Ic/kc5LxZulUqkwGtPYu3dP\nyvcwGJLPwWzO5PLLrwDg4oun8JvfPMqf/vQYDQ170el0TJkyjdtvv11WTp2RkUFRURFqtVpatAVB\nYMuWLXR2dkoSwKfi2LFjAGzfvp0nn3xSGjeZTDz00EOEw2ECgYC0gCqVapTKNEKhiEzREiAUCnPH\nHXcwYsQIHnzwZ59IBbKnpweHw4dSqSAclufYjEYdP/3p/2XUqEpWr16N0+lk9OjRfOtb36KsrIxd\nu3bx9ttvAyKHnsWSg1aro6qqmuuvvxm1WvTqDh7ch9ebuPMOBgMcPnyQ2bMTN0uNjR8nrSR0Oh3s\n3LmNefMWSGO7d3+UtGQ8fp24eN6XBbFYjNWrX2fjxg8GiiqWUV8/7wud09nMyVRXVy8Gvg+ssVqt\nu4Y794tK/DuAXw78+1Jh7tz5RKNRNm1aj91uJz3dxPjxE2WU7WcasVhsgDMshkqlPS0JZ1tbKy+/\n/JzUnX3ppXNTLu5D0dTUxJYtibvQd999W2ZkTreOiuXRyTnEUi3CKpUKn88rlfwuXXolS5Yso729\nDa1WN5B7CgOihHF3dzcWi0WqkhqUBBBDaMMt9hqNBpVKS2FhIUuWLKOz00ZxcSE333wzCxcuxO12\nn1KNF8HrTcW8LX43zc3HP7HMcFFREeFwJGl+RKNREQyGueaaaygsLCQUCknNnoAkRwAwffoMfv3r\nR2WfP46hLNGnIhXR6XAEqHEG7TiGK6n/ND1i5wOi0Sg333wzL730kvTZ/v73Z/n61+/gwQcf+sLm\ndTaNjNVqfQd4p7q6+tnq6upvWa3WP6U690Kd4lnA/PmLuPTShQQCfrRa3RnV7xiK9vY2jh49RFqa\njpoasdkuHPajUmnR6dJTPmRbt26W0X/Ek+3DIRwO8/TTTycN8fT2ylkNVCp1Um9GEAT6+/txu914\nvd6EooRYLEZHR3KG6MzMTHJz5ecrFApJy8RsNqDVDsaz8/PzCYfDSXfe9fX15Ofn4/P5kpbqTp8+\nB73exBVXXEFdnajHo9OJIUWPJ7kxGX5RjaDVfjIJbbPZzJVXXonf70SnS0elUsu+R4VCwcaNG3ns\nscewWsUoRVlZGStWrODqq6+W2AJGjariW9/6bspn4NT+nKFIxTM2HJ9Zfr6cP23s2PFs3Lg+yL99\nPwAAIABJREFU6bljxtSmvM75iOeff5YXXnhBNhYKhXj66b+xePESZs++JMUrzy7OUuK/Fii3Wq1r\nB4aageQSuQO4YGTOEsRqrNR8WZ8H0WiUf/zjJQ4fPiAtojt27GDx4sUUFxcTjYYIh/1otcnf/9Sk\n8al080MhCKJn0t3t4Jlnnk16zqkyzBqNgWg0LKMzicVi9PT04HK52LZtG93d3cyZM4f8/Hw0Gg0+\nn49gMEh2djY33HADdrudrVu3SkzLVVVjUKlU7N27m+3bt+DxeCkoKOSyy5YycmQJWq38UY4n9JM1\nearVGr7//e/zwAMPDPw9+Nq6uplJ6X7i+iOfdRe+bNk1/OMfryZlKs7KykKlUlFeXs7y5cu5+OKL\ncTodhEJ2BEFkpM7IyCYjI5P29nYefPBB7PbB7/DEiRM8+uijZGZmkZZm4v7772fRomVJWR7iqK2d\nQFPTkYT5pKdnMG7cxKSvmTFjDkeOHE54TWlpGRddNFk2Vlc3kz17PpJxowFMmjSF+vpLU87rfMRQ\nap+hCAaDvPnmG18qIwMEgdurq6snARqgBrh3uBdcMDLnIdavf5d9++R69t3d3axbt47bbrttoLoo\ndRf+qbT7R44cYeTIRAE0QYA4m352dh6XXbaUF198TnaORqNl+vQZsjFRdCyDcNhPX183wWCA/v5+\nent7cblctLe3EwqFeOutt7BYLJjNZkaMGMHcuXNlOZXa2lqeffZZQqEw9977b6xZ8zqvvfaKZHga\nG/fS0LCXP/zhD0BiqbBSqUStVid4M7EYXHvtVxk1agx/+cufaW5uwmQyceedd3L55UuIRhPld+OX\nGNqEeioCgUBSip1IJEZhYSF33nkPf/nL49IirdVqmTt3Lj/60Y9kjXAOh0PmMQYCPoJBPwoFPP/8\nczIDA6LnodPp2LhxM/fd9wC5uSY6OnoJBgNotbqki41Wq2X+/MvYtWsHdrvY59Pc3IzR6Karq5v0\n9ERPJzvbwvXX38zmzR/Q0dGOSqVm5MiRLFiwJMFbVyqV3HPPvdTWjufAgX3EYjGqq2u49NKFZ82z\n/6KQil0cvtjQ4NkwMlartQmxmuwT44KROQ/R1HQk6XhctbGqqgpIHf+vrKzi5MlBjZP333+fnJwc\ncnJyUCgUGI1GTKZMolH5Q/q73/03FksO77zzJi0tJwiHQ4TDIR577Pd8/PFennjib5hM4uKkUCjQ\natPIzi6kpcWKy+UeeOgVskW/t7cXr9fL9ddfn7BAjxgxgvnz56PR6MjPz+fRR99O0JCx2204HH2Y\nTMnZCZL90JRK8d+ECRfzpz/9GbVaTsAZ/9vj8eD3u4jFoigUSsJhHSqVHggl3F+n08nJkycpLy8n\nPV1kWBDJPvuxWMSS62uvvZ45c+r55z9fIxQKMmvWHGprawmHB/MZ8aKCUxGLxXC5+mWVXdnZ2Sxb\ntoyysjK0Wi1ut4fjx49y+LCXrq5uBCFKenoGpaXl5OUlygFkZmazYMHlbNv2Ifff/yP2798HwJ//\n/CeWL7+Ghx9+NCEvVFw8ghtvPH1+UZSLiDBzZh0zZtShUqlRq/XnTIPgmcS0adNZvfr1hHG1Ws38\n+Yu+gBmJOFfu9QUjcx5iuPBWvE9HqUy9W7zkkkvp7e3h0KH9hMNhJk6ciFKplMqG+/v70esdFBeX\nyx5UtVrNAw/8B8ePH+XYsUFDFwgEWLfuHe6774c89tifZe8lSgjPxGbrIxwOo1ZrWLVqFUeODFY9\nTpo0KSlZJMCYMWO4+uqb2LDhffr6epOeY7UelgTNhkIQhJS8amI/i/jfZL9FpTJGX59D2onGYgKh\nUASNxoBOZ5SxG3d02Fi7dg3jxo3j4MGDWCwWdDodfr+fHTt28M1vfle6bl5ePnfeebf0t7gYBySm\nhuG+22DQj9PZPzA/JTfeeKNMdsBszuDEiaOy17hc/Rw+vB+tVicxTA9FOBzmvvt+xIED+6Qxp9PJ\ns8/+D6WlI7n33n9LOZ+h6O938N577xAI+CkrK2fy5ItlebloNEQ0GkanM50zi9+Zwte+dgfbtm1m\n7dq10phCoeDaa69nwYILRuaCkTkPkZdXkJBsB5EqfvTo0SgUygGOsORQqVR85Ss30d7eSkvLcXJz\nsxMeyEDAx5EjB6iqGis7Zrd3smXLpqTX3bRpIz6fLyntv1qtQa3WoFDAjTfexCOP/EbqrRiu6srh\ncPCXvzzB+PHjpbH4+fF5rVmzlvr6ebK8jFhxl7qKTKEQF+CsLCMqVWJSXqFQoFKpEsIdkUgQgyET\ntVo3cCzGypW/Yf3693A4RFJN0etwceTIEaLR4cMlcT63uPZLKkZsgKamY3zwwXsATJw4MamuTTJE\nImE6OlqTGpnXX18lMzBDsW7du5/IyOzcuZXnnntGlquprq7m7rvvlrE8RKNhwuEAWm3qZ/N8hFar\n5bXXXuO3v/0vduzYhlqtZt68+Vx33Y3nzEL/ReKCkTkPMX36LNraWhLYBWpqasnOzkWt1p+2jBnE\n0IdOp6G/P9FgAQSDPpqbj1JRUQWIwmhtbSdSsho4nU4aGvZgs7Wj1xuYN29BQvGDWg3XXns1ubkW\n3njjDbq7u8nOzk7amQ9ivmjnzo9YseJ9srMtbNy4AYdD9DAyMjIoLy+nqKgEp9OPwaBFrVZKoZpY\nLLXkYSQSorFxN5MnXyzThokjGo0m5RyLxQQEIYJKpUGpVNLYuJeWlmYyMzN55513eP/998nKysLl\ncqHRaFi58pWUc4hD5HNTEA4H0etV6HTeBI9GEAS2bx9sJbNYEiu9jEYjWq1WYp4Y2qcSCCQvWR5K\nonkq4kwOwyEUCvHqqy8lFANYrVb++c9/Sjxyg58jNSP4+QyNRsMdd3yTO+745hc9FQnnioG7YGTO\nQ5SXV3LddbewY8eH9PR0YzAYqKoaw6xZn14carjWDYVCQU9PFxUVVQSDXiKRAOXlpVRUVCSlzc/M\nNPPkk3+UFud1697mpptuZelSMWSgVA6yCVxyySVccslg1c3u3btpamqS8hkgFjO0t7fT1taK3W6n\nsXGfrMS5u7sbn8/Hz3/+KwAZ4zOI73VqviUOrVaL0ZhGR0cHGRkZCcnoVF7QgQMHeO21f9LU1ERa\nmoGcnFyi0ShZWVnodDpcLhc+n4/MzEyuu+46IERnZytGowmTKbU+i9jfpGXz5g3s2LEVh6OPzEwz\n06ZNw2w2s3HjRtasWSP77IIgSKwFOTk5Mq8hLS0Np9MpeYupGm3nzVvAI488jNebSLo5alRVyvnG\nsXPnh9hsycvO402tF/C/GxeMzHmKsrJyysrKT3/iaZCebsLpTOXJBAeS+0EiETEZrdPp+MpXvsKj\njz4qy3dotVoyMzNlu/+enm5efPE5Lr1U7O4ezv4VFhZy1113MWfOHMaOHYtWq8Xj8TB37lwmTZrE\n+vXvJA3reL1eHnnkIV54YVXCsWg0uaomiDtwr9crJdJLSkowGAzEYqBUavH5EnMjVquVBx98kK4u\nOe2K2WwmPz9fknnW6XR89atfpbS0VOqq93icBIN+cnISE/BxrFr1EmvWvC7dw5Mn4eTJkwhCjF27\nPpKd29jYyPTp0ykrK8NsNssMjFKpJDc3F7PZjNVqRalUUlgoFz2LY+zYcSxZcgWvvPKibLygoJC7\n7ron5VwBtFoxfJgKyTxBpfKT9QtdwOfHBU/mAs4JGAxGjMYMPB6n7KH0+/24XC4yM7MRBLmHcM89\n95CZmcmaNWvo7u6muHgEer0+aXiqu7uLt99+m9mzFxCNpvYs7HY70WiUnp4egv9/e3ceHVd9Hnz8\ne++sGi0z2hfbkiXLvrJkW5Y3wIDBGOM2pIBZyl4KZWmTNy/paUMOLQ1NUpIUXk7TnJecnrbnTVpC\nyp4mhBwgJJTNxjvefY1t2ZYtW5Ysa5t95t73j6sZaTR3tNgaz8j6fc7RAd87y0/L3Of+tucJBhOG\ni9xuN36/D1mWTZeE7tixPX5XP1Jscn+krq6u+Eq1Y8eOcezYMaxWK1VV1dTXNwxmPE58zhtvvJEU\nYMBYbDE8+/LVV19NdXV10uN6e8+Rn19o2qsYGBjgww+TywL09PSQl5e8OVLXdV599TWeeOIJrFZr\n/PuxWq0UFRVRUlKCw2Gsyuvv9+F2lyT/EAb98z//mJqa2Xzwwe/o7+9j3rwGHn30K6xYcXnK58QW\nTFx55ZW8+eabCaveYkYui7dYbNhsY2eWECaHCDJC1qiomIWq9hAIGEMroVCIgYEBLBYLVVWzTIfU\n7r77bu6++26sVjsORz5PP/0kR46YD48MT2Fi1rvo7u7mo48+YtWqVaZzDQB2u42mpiZ2707uzQSD\nAfbs2cmiRS1J56JR4nVxYrVxenp6TV8nGo1SVFRCNBo1zVgwvE4QwJo1a7j55puprKwkHI6wc+dO\nPvzwf5g7d67p96DrGgMDvaZBZvv2LaYbNYHB38MM2ttPJhw3hkivY8uWj+MBMxKJ0N7ejtfr5fLL\nL8flcuF0ugiNUiHAarXyxBN/wxNP/E3qB40gScZXfn4+N9xwA7/4xS8SlpdXVs7gj/7oVqxWO7pu\nBBir1XzPjpAe2fKzFkFGQJIk5s1bQGvrQbq6zhCJhPF4iqisnEVFxQxCIR9muQ41TUOSjLmM6uoa\n0yDjdDq57LKhIm2RyNDueTAu+l1dPRQXl5Gbm084HCIaNS/yNXy+ZjzHh7+n8X0a7ydJDpxOV1KC\nyNLScgoLi1O+//C0+TfddBPf/OY3E967sbGRO+64i2PHjsYDdjLzD77b7RnsPSVH9NzcPJ555lle\neuk/UNUDOBwOWlqW8tWvPs6JE0eT9g5B4r6d2FxYinyV5yWWCUKS4Pbbb6e6upqNGzfi9XqpqKhi\n3bovU1ycuvckpJ8IMkJWkWWZOXMamDOnISl55cg0MZ2dnezbt49z585hsVipqKhizZq1qOq+pKJh\nl122kjlz5iTU2tA06Og4w2uv/Rfd3d1UVs7gzjvvJi8vn9///h3TYOVy5VJYWBQvYgbGHXh+fj4t\nLUtTpkKJRqO0tbXS19eDJMkUFpYwY8YsmpuXcezYEQYG+pBlmcLCYqqr6+K1WMLhCDZb4sdj5cqV\nbN++A13X+OM//uOk4CZJYLEY6YTMgowsWygtLcXptBMORxMyLC9c2ExtbR1HjhxOet78+Y00Ni7g\nmWeeSzrn86UKZqRcBTgZYtVSYzcLK1asYMWKFei6kSVinLlAhTQSQUbIWiP/OCVJwuHIH0wT0xW/\nY405dEjl5Mnj3HzzLZw+fZq9e/fhdDpZuLCZdetuTHr9TZs28L3vfYfTp4cC0m9/+w7f/e4PaG5e\nRldXJ319Q8tnLRYL8+cvZNmylXi9Xg4c2I+mabhcLsrKynnooUdSzMdE2blzS0K10s7O0/T2dtPY\n2IyiNCU9R9d19u79nPz8XCorKxN+Fsb3d4YtWzZRV2eeE1CWoaiolEDAj98/tGJLkmQqK6soLi6I\nv08oFKWvzz/4PJl77nmAn/zkXzl58kT8WFPTIu66637T9wJME3zGxJaE6/rYF/1oNBIviS3L0uAy\n+NEn6cNhBhdKGAFW04zekggw2SFbgow03vTj2aCzs/+CGztVq+9lS7s/+eQDDhzYa3qupKSEgoIC\nZs2azdy5Q5l2h7dd13UefvhP2LNnV9LzV626luee+2f6+nrZs+dzent7sdvt1NXNpbbWKFvd09PD\nK6+8xKlT7Xg8hdx2250pNyW2tn5Ba+sXJmckmpuXUlycXDOlo+MUe/ca1SqrqqooKirCarUSCoUI\nBsPU1Mylo+MUJSUFSVUnY99fZ2cvOTku/H4vgYAPSZKpqirH40nOauDzhfB6jUUOmqYRCgX5+OMP\n6evrpa6unsWLl4x6sTh37iy7dm1Nqt1it9u5/PLLycvLIxodyr1mJhIJEQwOMDJVjt2eh82Wunz0\nZMuWv/GRjIS0r3HwoEp1dQ133nlPUtG4SayMOWmRYe/eved1vWxqaprU6CR6MsKE9Pf3pTwXG8bq\n6DhFTU190gdRksDv7+P7339msBz15/zoRz+Kr0zas2c3fr+PggI3K1dek/C6AwP9uFy5eDweHnvs\nq+Nsa6rNhDpnz3aaBhmvd+j7a29vT9iX43Z7qKmZS3l5ZVJ56pg9e/byj//4AzyeQlpalnHXXffh\ndNpxu803INpsFqLRCH19XfT39xGJRJg7txaXK5fS0hlj3o0WFhZTWzuPtrZWgsGhZea1tbVYrTbC\nYQ1Nk3G57EgShEKJw3QA4bAfs1x3kYgfq9U+7jtin8/H9u2f0dHRga5rlJWV09KyIp7Pbipqbz/J\nI488wJYtm3G73bS0tLBjx2ZqambT0NDIddetGzVLgyCCjDBBo6WPj21oDIWC9Paeo7Q0sU6NzQaF\nhW4KC407+rq6Ompra3n44YeJRCJomoamGRc7XdfZvn0rmzZ9Qm6ui2g0itvtYe7cBhYtWjKuto6W\nMTnVhdNqTX3nbrcPnYtEhlatGUNFGvv37+eFF/4vwWCQjo7TvPPOr4lEwjz66J+nfD9J0unt7eLc\nubMJ1Tv7+nqIRqNUViZnxx6purqWqqpZ7Nq1jZ6eswSDQQ4cOMCBAwdobFxAY2ND/HeTk6MTDEbo\n7zcCUiyDgRlNi8azG4wlEonw3nu/Tijd3NNzjq6uLm688ZYxq65mq7/7uyfZsmUzubm5rFu3jqIi\nIzXP2bNdfPrpR3R0dHD//Q9luJXmsmW4TAQZYULq6xWOH29NSjxptVrjSS5l2YLLlTiUZLGY71dp\naWnhlltu4fXXX6exsYnc3Fz27dvDD3/4f9i9eyeappGfn09DQwOLFy9m69bPsFptNDYuTH6xEQoL\nS+jsTE6bYrFYKC+fkXRc0zTOnu1IOg7GB7a8vCrhWDgcW4od5ac//X+8//57Sc/btm0LPT13k5vr\nwGJJ/gH09fXj9fabrirzegcIBgMpL9DDc7h5vQP09fUknLfZbNTVzU7IZmCUYbARiWiDGRKkwa9U\nIytDFypd1zlx4lg8IBYUuKmursNisbBv3+6EABPT3d3Fnj07Wbr0sqRz2W5gYIBNmzYCsHjx4niA\nGe7w4YPs27ebsrIrL3bzxpQtQSb1rZ4gmJg1q4alS6+goGAoRYrdbqekpCQ++V5YWERubuLKK7MA\nEzN37lwqK2fw4IOPEgqFeOaZv2fnzh3xjZf9/f1s27aNQ4cOoWlaylIHI82YMSspMFgsFmbNqqWg\nIHl+5ORJ4wJqpqSk3DRdvrHvZiBl0tBz57o5efIkfn9ymppIRCMQCJnujB989YTFAzHRaJhAoA+f\nrwe/v4dAoJ8zZ07FMznH1NXVmc4bAdjtRuAxEoGa32vKsjV+Ttd19u37nC++2EdXVwdnz56htfUL\ndu7cQjQaTVhcMVJvb/JGzakgEAjES057POYpgXRdp63tmOm5TIvVKJro12QTPRlhwhYsWERDQyNt\nbUc5deoEoVAQTYtit9tpalpARUUVui4RCg1d9EZbX1JWVs7zz/+IOXPq+cUvXufQoeTJeiO4HKa+\nvt40z5YZSZJobGymqKiEtrZWIpEIubl5uN3JCTGBeKkDM1Zr6tIJubm5eDyFCavlYgoKCigvr8Tv\nD6FpGg6HdXCZdKwnISPLctLE/dD7Jg5VRaMRAoEBIFaCIJZGP3mvzHiLg9lsLjRtICFjgyTJCZVV\nu7o66OhI/v56erppa2sddV7iYi4emEzFxcU0Ni5g06aNpnuRYrJ1KDBbejIiyAjnxWq1UltbT21t\nPT7fAJFIiOrqqmHLZnVCoQh9fQHOnTvHSy+9wpkz7eTl5bFq1SqamozlwwMDAxw92srhw4c5efIY\nZ86kzgocK+Y1spc0Gp9vgGPHDsf3kwQCfs6d66aubi7V1YnLkM2Gs2JGm9+xWq0sWbKc3/zmV0nn\nmptbyM830sIEgxGCwciI5zpwOnNM6944HA5ycxMnzSORADabJZ6eJRAwlh0XFxfR0XE6IVidPHmS\nhoYG0wAQiQw9zmKxkpPjJhz2o+sakiRjszkTvudUtXzAKJmgKE0cOqQmZY+22WzMnaukfG42kySJ\nRx75C7744iCtra3Mnj07KXDn5xewbFnq9DuZJIKMcMlwufLweFzYbIlj/w6HDejjm998kuPHj8fP\nbdy4kbvuuosVK1awadMmfD5jSOLgwf1IkoQsW5KGfsBIYSJJEnV19eNuW2vroaQNi5oWpa3tKFVV\n1Qn7TEpKyjl9+iS6ruNwOCgoKMBut6NpGjk5OUQi4aSeRcydd95DJBJm69bNdHefpaDATXNzC3/6\np4+M2j5JkigurkLTNHw+b3xIzeFwUlaWvLrM6bRjt9vix2PF0cBI5dLefiI+zNjb28vp06eZOXNm\nwuuEw1F8vsSgFqtkOlo7U5+TKSoqZvnylezcuS2+AjE3N4+FCxdTUVGV8rnZ7qabbqG4uJif/eyn\ndHZ2UVpaEg80RUXFXH/9uvhNRLYRQUaYsk6cOM62bZsYGBggP9/N2rU3UFpq/kELh0MJAQaMXGav\nvfYahw8fTvogeDxuli5dxpYtmxKO5+TksHz5CpYsuYymJvPd/WZSLWMOBgN0drZTWTmUyLK0tJyZ\nM2dz5kw7xcXF8QBks9nIy8vB7+8lL684RUlnC/ff/xC3334Xp0+forS0zDSxpRmr1Upl5WxCoSBe\nbx92uwOXK7mCpMUCNlvisnBZlsnJySEUCjF7dh2lpVX093fh9QbweIpwONz09wdxOIwLozHhn7qY\nWyoVFVW0t7eZBv+iIiN9TENDE3PmzOPw4YPous6cOfOSlrHHhEIhNm/eSHd3Fy5XLitWrEz5N5Rp\nV155NVdeaWQS7+3tYc+endjtDpqbl6T8/oQhIsgIE7Jnz07efvu/E3b8Fxd7qK6+2fTxZlmTwRgm\nO336NJWViZPpoVCA7373B7zwwo/YsWMrfr+furo53HLLraxevXbc8wwxo93N2WyWpJxec+fOJyfH\nQSBg9K4KCwspLS2NX0yM5JmWlHnAcnJc8Y2jqTJDp2K3O7DbS1OeT/VSsizjdDoBB4WFLubNq0nY\nGBgMhgkGR9mNOQ4FBR6qq2tpa2uND8nFVtxVVRmbYSORENFogOrqqsE8bGF03Zb0O+juPsvLL7/I\n6dNDe5B27tzGfffdR3n52Eu2M8nt9nDlldeM/cAsIHoywpSjaRqffPJRQoAB2LDhU66/fo1posq2\ntraUr2d2Ac7PL8DjKeSpp/5+cN9MNOUQ1WjC4TC/+c1bHDy4j9LSkqTU+7m5uVRVGQFuZMAYPhRV\nXl6eMKRmsViQ5aEEkWZ27NjG9u2bOXvWuEufN6+BNWvWTThAToQs29D19C4WraubR2lpBR0dxpBi\nUVEZRUXFgwsZErMGGLnNoui6htOZ2EN5//13EwIMGEN7b731Fg899JUJBWYh+4kgI4xbV1cnp06d\nSDre39/Phg0bWLt2bcLdUyQSZe/e/aav5fF4KC1NvGu3WCzMmzc//hqyLI/rgqNpGj/72U/57LMN\neL1eCgrctLef4MQJI8DZbDYaGhq48847sVgsOBwO5s2bF3/tWHbmGFk2gkFhYaFpbjAjEeZQdufh\nPv98G7/+9ZvxifyBgX7OnDmNz+flllvuGPN7MWOxpN5nBLH9Mhfno5yfX2C6gz8cDmK218ZY+RaJ\nL4XWNI22tqOmr338+HGOHj0yoTk3IbV09GQURZkD/AOwHZgJnFVV9TujPUcEGWHcrFYrFovFdF/H\nO++8w5Ill5Gf74ov0fX5Qlx77Rr27NnJgQMH4o91u93cddef4HDYOH68Fb/fT35+AfPmNdDQsGDC\n7fre977NW2/9d8rz4XCY3bt3U1tby3333UdNTc3g8JJ58siCAg9+/8CoAS7V53f79i2mK8UOHNhL\nT8/1eDzmy6dTGa2ENMSWMCcXWLvYUmUNAGNfz/D9NqmGUMHIgCBktSLgZVVVfwmgKMo+RVHeVlV1\nW6oniCAjjFtRUTGzZtXQ2pqcjn7WrBp0XaavL5Bw3O0u5Nlnn+XVV9/kxIkT5Obmsnr19ZSXVwCw\nbNnlaJpGd/dZPv30f/jwww+w2ezMmVPPVVddO+YQ06FDKr/7XfJOezOHDx9GURKX05rNrRQVFWG3\nSwnF1kYyu07qup5yqa/P56O19TAtLcvG1daYWNqa5Pcayno8si1+v5/PP99KMBigtLSc2tr6tI/P\nS5KMrpsHj+FLoS0WCzNmzOTAgX1Jj6usrGTJkkWEQlo8aahw/tLxO1dVdcuIQzKQut4EIsgIE3T9\n9X/Am2++ytmznfFjZWUVrF37pZTPsdvtpin/Y86d6+bnP/8pXV1Dr3n06GHOnOngjjvuGbU9n376\nSXwJ9Fi8Xl+80JbRAzAf8opGNSorK9E0jYGB5B5N7OI+kiRJuFy5CWUKYqxWK2VlFfF/79q1k717\nd1Ffr7Bs2fJRcpuZfy+SZB5gjh49wubNn9DXN5Toc8aMfVx//ZfSmsjRYrGZ9mYkyYLVmrgCa9Wq\nNXR0nE6oBJqTk8OaNWuwWq3Isk4gECYaTd3jEcaW7hsLRVHWA++qqnpgtMeJICNMyKxZNTz22NfY\nvHkDfX29eDxFrFhxxQUt5dyw4aOEABOzf/8ejh5tZfbs2pTPdbvN032Yqa+fw8CAH6vVgiTZSFWl\nMhLRCIej2O1GUbRQKBRfUaVpEAqlvvgpyvykSW2Ampo6ZsyYycDAAE8//SSbN39GKBTCZrOxeHEL\nTz/9vaQ5Kki9uCDWkxkuGo2ydevGhAADcPJkG1u2bGTlylUp232hbLYcNE0jGh3qgUiSBYcjN+li\nN3PmLB588DG2bdtIT8858vLyWLlyZbxGjyxLOBxWfL5RakYLY0pnkFEUZTWwGvj6WI/NSJBRFOWf\nAB8wADQDX1dVNfVWbyGrOJ1OVq26btJer6PD/FcfiUQ4fPjgqEHmD//wy/z85y9y7FiMppQ+AAAT\niUlEQVTrqO9RVlbGvffeSzjsJxTSB9Om5CbdZccMDAQoKsqLLw8ensFgNKtXr8Xv97F372683gGs\nViuzZ9dx882309nZwfPP/yOffvpxfJ9KOBxmy5bNPPvsMzz33A+TXi8aNR8yM+tJHTnyBT095nnC\nOjqSA99kMhJv5hGN5qBpISTJgsWSvHw5xuMpZP36Wwc37ApTiaIoNwJXA48DlYqi1KiqujHV4zPV\nk/GqqvoUgKIo3wT+FvhahtoiZNjwFPoTOQfGMuOvf/2v+eEPn+PYsaOAUY6grq6WvLw8BgYGqKmp\n4d5776WxsZGeHiNTsa5rhEJerFbb4J6OxNeNRo0Dvb1+LBaZcDhCJDL28I0sy3z5y+u55po1HD16\nhJKSMux2O//+7//C/v17CAaD1NTU0NfXR3f30HDRtm1bOHu2i+LikoTX0zQj23NsdVlsmM8syITD\nqe/8h6eRSSeLxYLFkrocxHDhsIbD5NeraRqBwIXt6zFSEOmjlqa41KVpddlS4BVgK/ABkAu8AGRX\nkIkFmEEyRo9GmIbC4XDKuQK328Py5WOniF+58iqWLl3O22//it7eXlatWklTU2PS42K5z8CYI3G5\nXPGVW7EL98ghqFAo9aqp0eTnF7Bw4WJ0Xef73/82+/cPVRO12+0UFRURjUbjSTm93gG6ujqTggwY\nbRplQVZcbe3cwQ2syXNUZq+baX5/CJtNxm63xi+Imqbj84XidYUmqrOzg61bN8VLPJSUlNHSspzK\nyuTSDpe6NE38bwPGnzyQNAYZRVHeBcpNTn1LVdVfDT7GA9wA3Dae1ywsdI2aDXe8sjV9xVimarvB\nvO2HDx/mpZde4tSp5Oy+xcXFrF+/nlmzkqtXmsvnsceM4lHGnXAgPo9iDHWF4ptIJUkiLy8vYeVa\nbC+Ky+VKOH6hP/Pt27fzxRdq0nFZlsnLy4sHmbq6OpYvb8Zhdms/bvksXbqEjRs3JiTKLCws5Npr\nr54Sfz+yLJGX5yQvb+KZjX0+H2+88X680ipAe/sJvN5+7rnnnpTp+ifLVPj5ZkLagoyqqutGO68o\nihv4MfCQqqqpi1EMc+7c+FYRjSZb64iPZaq2G8zbrus6r7zyqmmAmTlzFg888CgOh+OCvudY5cpA\nwEcoNNSLcTqdKZdG9/X54ivOJuNnvmePmrJezPDcaOvW3UhfXwi4sMnuhgajuNauXXsJhYK43R4W\nLFiMLLuy/u/nQn/e27Z9lhBgYnp7e/n4441cfvlVF9K8UU3W53MyA9W0TiujKEoJ8EPgG6qqnlQU\n5TZVVd/IRFuEzDh69Eh8R/5IPp9vUhIPxuYvZNmOcfHWcDqd8Y2YZib7czl3roLNZjPdoGmUCFjG\nDTf8AevXn182ADNNTU2UlVWP/cBLzMBA6lH3kZm4p4NpHWSA9wbf+6XBzXH9gAgy08jwtPYjRSJG\nluDJ+pBYLDaczjwgjMuVM+rrjmfuYyLq6+eyYEEzO3ZsTTjudDp5+OE/57LL0le21+m0xStghsNR\n/P4Lm0zPdiNLfg83HRcATOsgo6rqkky8r5A95s5toLCw0HR4o6KiatKTJFosNmw226g9lVSbLC/U\nV77yOC+++BP27duN1+ulqmoGq1evSWuAKShwJiwPdjhs2GyWMZdgT2WNjQs5fFhN6tG4XLnMnz/x\ndEXC5BCbMYWMsNvtLFt2OR988NuEOYv8/IKETYPnzp3j5Zdf4uTJNtxuDzffvJ558xomvT2pdv9P\nBqfTySOP/AXhcJhgMEBubl7a7zLt9uSPtsNhw+mMXvDy4GyVm5vH1VevYfv2zXR2dqDrOqWl5TQ3\nL6WwsCjTzbvopnVPRhAArr56NYWFRezevROfz0thYRGXXbaSGTOM+iStrYd58sm/prX1SPw5v/3t\nOzz++F9x4403Tfj9Rts9H4mkPj9ZbDZbWlO7DJfqAmOszrw0gwzAjBmzqKqaSV9fL7qu43Z7suZi\ne7Fly/ctgoyQUQsWNLNggXmly3/7t39JCDBgVCZ88cWfcMMNfzjhC3Zs9/zIkbjRasNcei79b1SS\npAmlG7pUZUuQEdWBhKyk6zp79+42PdfaeoQNGz4+j9c0ds/HNl1qmtGDMVn4NeWZLaqIpcYRhItJ\n9GSEBOFwkEgkiK5HkSQZi8WB3T7xjXGTYbQ7sVhhsZGi0TDhcABd15AkGavVjtXqIBKJ8PnnWwfH\n6qGsrJzFi5eeV9XNqcDvD5OTM5Q7TNd1/P4wodDFSS8jCDEiyAhx4XCAUGhoP4Gua4Pp2zXsdtdF\nbYskSSxc2MypU8mJHefMqeeKK5JXZkUiQYJBL8OHhKLREJFIlA8/fB9Ni2K329E0jdOnT/Dee6dY\nt+6mtJZFniyxeDveYT2vN0gwGMbhMD7iweD4cq8Jlw4xXCZkFV3XiUTMC0UZPZuLP5b/6KNfob5+\nbsKxoqJiHnzwEdOyyOGwkRRxpN27tw2mj3cgSRIWiwWXywXo7NtnPiSXLSQJ7Hbjy+Ew/jve1d2R\niIbXG8LrDYkAMw1JknReX5NN9GSEQXrKErqxHo3FcnGHlmbNquZf//U/ePXV/6Kt7Shut4f16++g\nuromZRvN9PX1mfZWnE5nPJFitrLZEoOKLBvHQqHptFhBmMpEkBEGSRgd21R3vJnpeufm5vLggw+P\n45HS4FfylXe0u7PJunHTdZ1AwIuuQ05OcqGu8xFL7z+SJBnnRu7ricXRUEgU+xKyZ7hMBBkBYHAY\nyZZQ2TDGYrFhsWT3n8pQ+5MvsLm5eXi95nmtSksrTI9PxMBAH93dZ+JJOO12Bx5PKQUF6VtGO/z6\nIUmJPZ5gMIjdbvR2LoZIJMypU+3k5xfg8RRenDcVxiSCjJB17HYXoZBGNDq0pleWrdjtqXNCZRO7\n3UUwmDhsJkkW5sxR2LVrW9LjZdlCY+OiC3rPcDhEZ2c70ejQe4ZCQbq6TmG323E6z3/BxGjDYcPP\nWa3JPZ7YsFq6l2e//fYv+eijD2hvP4nL5aKhoYkHHvgzioqK0/vGwphEkBGyjlFquIBo1KhpL8uj\nl9DNNrJsweksIBIJomlRZFnGanXickk0NS2mtfUQPp/Ro3G7C2lsXHTBOdJ6e7sTAkyMpkXp6zt3\nXkHmxInjbNz4CZ2dZ8jJcdLQoHDNNdfE2zo8x1qsnIGZdP/aPvzw97z++svxtEA+n4/t27fg9/t4\n8smnp8zfjZBeIsgISSwWO1NgVa8pSZKw2ZL39ZSXV1FWVkkoFESWLZOW3sUswAydm/ielBMnjvHy\nyy/R19cTP9baeoSuri5uu+2OCaXASfc1fuPGT0xr5Rw8eIDduz9n0aKW9DZAGFW2BHmxhFmYNiRJ\nwuFwTmr+MJstdd2b0c6lsmHDJwkBJmbXrt2cONFBOJwYYHQ9dXmCyS5bMFJPT3IGbTCC68mTJ9L7\n5sKYsmUJswgygnABPJ5i7PbkkslWqx23e+LzEmfOnDE9HgwGOHjwgOm5aDS5ZxNLmZNOxcUlpset\nViuzZ9el982FKUMEGUG4ALJsobx8Frm5BVgsViwWKy5XPhUVM8+rx+R0JgesmLy8PNPjmmasJItE\njIBjtVqTejzpcNVV15oG2MbGBcyf35TeNxfGlC09GTEnIwgXyOFwUllZPZgVQUeSzv/erb5+HseP\nH006XlZWwcKFi1M+LzZXA+Dx5DAwcP715iORCIcOqQSDAWpq6lIuS77iiivx+3188MH78dVl8+cv\n4IEH/uy831uYPNkyJyOCjCBMEuNDfWEf7FWrrqO7+yz79u0hFDL2LJWVVfClL12cHGvHj7eyadOn\n9PYa80I7d25jzpx5rFx5jelF67rr1nLttWvo6+vF6XROyzLH042iKBXAPwDNqqouH+vxIsgIQhaR\nZZlbb72TK664mi++UMnLy2PRohbTXG2TLRwOs3HjJ/T398aPhUIh9u/fg9vtYcEC856ULMtiE2YW\nSmNP5irgl0DqrvUwYk5GELJQZWUVq1atZsmS5RclwACo6t6EADNcW9uxi9IGIfupqvo6MO7xWBFk\nBEEAiA/PmQmHRT404fyIICMIAgBVVbNSzvsUFhZd5NYIFypbVpeJICMIAgAVFVVUVyfvb8nPd9PU\nNK7hd0FIIib+BUGIW716LR6Ph/b2E4TDYYqKilm0qEUkvJyC0jXxryjKNcD9QKWiKE8Bz6uq6k/1\neBFkBEGIk2WZpUsvY+nSyzLdlElhsUjYbFYikaioDjpJVFX9EPhwvI8XQUYQhEtSQYETm82KLEvo\nuk4oFKW/3z9tKopmy2ZMMScjCMIlJy/PgcNhQ5aNC62RHNVKXl5yhm4hvURPRhCES47dbr5Kzm63\nIMsSmnbpd2dET0YQBCENjKW45pc2WZaz5uI7XYiejCAIlxRd14lGNWQ5uTcTiUSJRqfHAoBsCaYZ\nCTKKojwOLAQOAlcCP1BVdWMm2iIIwqUnEAhhtToTLrS6rhMIpLnIjpAkUz0ZB/A1VVX9iqKsB74D\nrM1QWwRBuMQEAhF0PYDTaYvPwQSDEQKBcKabdtFM656MqqrPDvtnPbAvE+0QBOHSFQxGCAZFzyXT\nJD1Ni8YVRXkXKDc59S1VVX81WJPgSaAFuFVV1a6xXjMSiepWa/pragiCIGTIpHU/AoHAeV3cnU7n\npHaB0hZkxktRlOsw5mRWjPXYzs7+C25saWk+nZ3nXzUwU6Zqu2Hqtj1b2i3LxpckGaWWo9HRH58t\n7Z6oqdpumLy2l5bmT9oFPhgMntf10uFwTGqQycgSZkVRvjHsn61AclY+QRCwWsFmM/5rsRj/b7Nl\nulWCMH6ZmvivVhTleaALaAYezlA7BCFrSZIRWEbO31os4+vRCNPbdJ/4/1om3lcQppLYEFmqcyLI\nCFOB2PEvCIIgpI3Y8S8IWUrTQNfNezPa9Ni0LlyAbBkuEz0ZQchSug6RCAmp6WPHxFCZMFWInowg\nZLFo1Oi1WAa3h2ma6MUI45MtPRkRZAQhy8V6L4IwFYkgIwiCcAnKlp6MmJMRBEEQ0kb0ZARBEC5B\noicjCIIgXPJET0YQBOESlK6ejKIo1wO3AmcAXVXVb4/2eNGTEQRBEMZFURQX8C/AX6qq+vfAIkVR\n1oz2HBFkBEEQLkGSJJ3X1xiuAI6pqhoc/PenwI2jPUEEGUEQBGG8yoDhhXP6Bo+lNKXmZCaroE9p\naf5kvMxFN1XbDVO37aLdF9dUbTdkZdvTMSlzBhj+jRYMHktJ9GQEQRCE8doI1CiK4hj895XA26M9\nIePllwVBEISpQ1GUtcDtQCcQHmt1mQgygiAIQtqI4TJBEAQhbUSQEQRBENJGBBlBEAQhbabUEubJ\noijK48BC4CDG6ogfqKq6MbOtGpuiKP8E+IABoBn4uqqqpzPbqrEpiiIDjwDfBa5TVXVPhps0qomm\nzcgWiqJUAP8ANKuqujzT7RkvRVHmYLR7OzATOKuq6ncy26qxDf5dvwVsAuzAHOAhVVX9GW1Ylpmu\nPRkH8DVVVZ8Ffgpk/R/0IK+qqn+rqur3gR3A32a6QePUjPFB9GW6IWM5n7QZWeQq4JekZ39EOhUB\nL6uq+pyqqo8DdymKsjTTjRqnjaqqfkdV1acAF8bNiTDMtOzJDAaXmHpgX6baMhGDf8gxMkaPJuup\nqroDQFGUTDdlPFKlzfhd5po0Pqqqvq4oyrWZbsdEqaq6ZcQhGfBmoi0ToaqqhtEDQ1EUK0YvTM1o\no7LQJRtkFEV5Fyg3OfUtVVV/NTi08CTQQhbdfYzV7sHHeIAbgNsuZttGM552TxETTpshTB5FUdYD\n76qqeiDTbRkvRVHWAX8J/FpV1a2Zbk+2uWSDjKqq68Y4fxp4XFGU64DfACsuSsPGMFa7FUVxAz/G\nGPvtvjitGttY7Z5CJpw2Q5gciqKsBlYDX890WyZCVdV3gXcVRflPRVG+oqrqjzPdpmwyLedkFEX5\nxrB/tgJ1mWrLRCiKUgK8AHxDVdVWRVGypidzCZlw2gzhwimKciOwDngcqFAU5YoMN2lMiqI0DrY7\nZspcSy6mS7YnM4ZqRVGeB7owJqUfznB7xus9jN/ZS4PzG/3AGxlt0TgoilIIfBVwA48qivJzVVU/\ny3CzTKmq6lMU5S+AHymK0gnsUlU16+djABRFuQa4H6hUFOUp4PmpsNJpcJL/FWAr8AGQi3Ezle0r\nPoPAnymK0gLYgPnA/85sk7KPSCsjCIIgpM20HC4TBEEQLg4RZARBEIS0EUFGEARBSBsRZARBEIS0\nEUFGEARBSBsRZIRpTVEUq6Iof6UoildRlIZxPF4sxxSECRBBRpjuHsLYj+HKdEME4VIk9skIAvEe\nynxVVQ8MpnB/AWOznQ6Uqqp6n6Io3wa+NXiuc6qUABCETJquO/4FYTSLgWtUVW0EUBTlSQBVVZ9W\nFOVbqqr+r4y2ThCmEBFkBCHZF0BEUZTfAz/H6LkIgnAexJyMIIygqmo/Rk6772IUAts/mH9NEIQJ\nEj0ZQRhhMGFjo6qqLwIfKIqyA6gGzgFBRVEsGDWIfqOqatYX1xKETBJBRpjWBlPK3zv4z6cURXkd\n2A3coyjKEoxS3b8Hdg0+5mfAf2KMArx+kZsrCFOOWF0mCIIgpI2YkxEEQRDSRgQZQRAEIW1EkBEE\nQRDSRgQZQRAEIW1EkBEEQRDSRgQZQRAEIW1EkBEEQRDSRgQZQRAEIW3+P82f3wNMW47QAAAAAElF\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11076e0f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(7, 5))\n",
    "plt.scatter(y[:, 0], y[:, 1], c=c, marker='o')\n",
    "plt.colorbar()\n",
    "plt.grid(True)\n",
    "plt.xlabel('1st')\n",
    "plt.ylabel('2nd')\n",
    "plt.title('Scatter Plot')\n",
    "# tag: matplotlib_11_c\n",
    "# title: Scatter plot with third dimension"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "uuid": "c9a9df7d-0e1f-41c5-8e8c-8c523214fb93"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,1,'Histogram')"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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Nyu3feI/dLftVcc4V+41n/276LHdTrKuqG/rWbNJ7MDMviYjXAWTmHRHx53GecwlwV2au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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11109cd30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(7, 4))\n",
    "plt.hist(y, label=['1st', '2nd'], bins=25)\n",
    "plt.grid(True)\n",
    "plt.legend(loc=0)\n",
    "plt.xlabel('value')\n",
    "plt.ylabel('frequency')\n",
    "plt.title('Histogram')\n",
    "# tag: matplotlib_12_a\n",
    "# title: Histogram for two data sets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "uuid": "f7b73537-d6a9-4d34-9f3f-f838ab9f0eca"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,1,'Histogram')"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x111133dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(7, 4))\n",
    "plt.hist(y, label=['1st', '2nd'], color=['b', 'g'],\n",
    "            stacked=True, bins=20)\n",
    "plt.grid(True)\n",
    "plt.legend(loc=0)\n",
    "plt.xlabel('value')\n",
    "plt.ylabel('frequency')\n",
    "plt.title('Histogram')\n",
    "# tag: matplotlib_12_b\n",
    "# title: Stacked histogram for two data sets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "uuid": "c5b0ef1f-17d9-485f-834c-ad016ac67484"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,1,'Boxplot')"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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rg22rpwG3N1GHJKlcQ+12uycHjoirgF2m+OiszLw8InYFTgeeA7wsM++b7ZibN29pDw8v\nnudKJUkL3NCUK3sVcJ2KiEOprsE9b7Ztx8Y2NlusAF8RIm3luTAYWq2RKQOukWtwEXHahMV1wFOb\nqEOSVK6mXni6e0ScD9wHrATe2FAdkqRCNTXJ5K1NtCtJ2n54o7ckqUgGnCSpSAacJKlIBpwkqUgG\nnCSpSAacJKlIBpwkqUgGnCSpSAacJKlIjT9sWZKkXrAHJ0kqkgEnSSqSASdJKpIBJ0kqkgEnSSqS\nASdJKpIBJ0kqUiNv9Nbgi4hdgbXAyszcb4bt9gWWZeY1/apN6oeI2JPqHPgesBtwf2ae2+G+RwEf\nAw7JzHt6VqRmZA9O0zkQuAwYmmW7fYGDe16N1H87Axdl5gcz8xTguIh4bic7ZuYVwI97Wp1mZQ9O\nU8rMSyLi4InrIuIcqv8zjwCPBT4K/BWwLCLOBi7IzF/2uVSpJzLzpkmrFgG/i4jvAPcAvwCeD5yX\nmVdExA7Ap4BfAT8HlvaxXE3BHpy2xZuAz9XDNF/LzPXAl4FrMvNsw02lioijgasy84fAJ4HFmXka\nsAb423qzNwIbM/OdwIeB5Y0Uqz8w4LQtXgmcFxHfBXZvuhipHyLiEOAQ4O0TVt9V/xwDRurfnwnc\nDZCZj1L18tQgA07bYiQzj6YalvxwvW4LMBQRO0eEoaei1JNFjgBOAXaNiAPqj6Z6Sv3twDPq/RYB\nT+lHjZqebxPQlCLiIOC1wIuAfwHOBz5HNaNsR2BTZp4XEUF1Le7nwEcz89aGSpbmVT2h5Frg5nrV\n44BLgOcBo1RD9scDJ1ANT14PfBq4D/g1cCzw1cx8V38r11YGnCSpSA5RSpKKZMBJkopkwEmSimTA\nSZKKZMBJkopkwEl9EhG7RcTlEXFNB9se3Ml28yEizq4ftSYVxYCT+iQzfwr8Y9N1SNsLH7Ys9VhE\nvBV4OXAnsGHC+mHgS0ACf0L1Opb3RMTOVE/OeHpEfAz4LnDxVNtO0dYi4ONUD8RuA63MPL7+7G1U\nT9p4CFhG9eipZwIvrj9fDnxmiocMSwuSASf1UEQ8GzgD2CMzH4qItZM2uTAzL623vSIiVmXmjRHx\nT8DZmfmW+rPh6baddLx9gYMyc596u9Prn4cBL8nMF9bLa4F3ZeZZEfE1gMw8e/7/BaTmGHBSbx0C\n3JyZD9XL/0X1rj2onuO5e0R8CtgI7EHVw5ocWtuy7d3A5oj4FvAFqt4cwJHA8oi4oF5eTvW6F6lY\nBpzUW0NM/WBegOOonvf555m5JSIuBBZ3s21mboyIlVQvoT0BOCcinlXXcUNmngQQEUPAkrn+UdJC\n4CQTqbe+DewXETvWywdO+OwJwG8yc0u9PPFtDA9TB1hEvG6Wbf+gfkDw8Zn57cw8EVhfb3slcEg9\n1AnVGyHWTGwrIkYj4qVz+zOlwePDlqUemzDJ5IfAo8AxwHuBfwf+A/gN8GPgMOB+4CTgZ8DVVO8d\nW0f1xoYpt83Muye0tSfwMaoJLTtQTSg5NTPbEbGG6g3UP6GaqPLOzHw4Ip5DNZT5U+DTmfn1nv1j\nSH1kwEmSiuQQpSSpSAacJKlIBpwkqUgGnCSpSAacJKlIBpwkqUgGnCSpSP8H5Aaz34kV5TUAAAAA\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11126d278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(7, 4))\n",
    "plt.boxplot(y)\n",
    "plt.grid(True)\n",
    "plt.setp(ax, xticklabels=['1st', '2nd'])\n",
    "plt.xlabel('data set')\n",
    "plt.ylabel('value')\n",
    "plt.title('Boxplot')\n",
    "# tag: matplotlib_13\n",
    "# title: Boxplot for two data sets\n",
    "# size: 70"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "uuid": "c4621c85-1082-4bce-937f-013a68de8181"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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eONiyXOzY4WLHDjvM0tNdFBefHmIeT5DLL7e7EqtaZf36BejcWROjRUQikaPD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\nB2TyVKDZFYKiAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1114b0438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib.patches import Polygon\n",
    "def func(x):\n",
    "    return 0.5 * np.exp(x) + 1\n",
    "\n",
    "a, b = 0.5, 1.5  # integral limits\n",
    "x = np.linspace(0, 2)\n",
    "y = func(x)\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(7, 5))\n",
    "plt.plot(x, y, 'b', linewidth=2)\n",
    "plt.ylim(ymin=0)\n",
    "\n",
    "# Illustrate the integral value, i.e. the area under the function\n",
    "# between lower and upper limit\n",
    "Ix = np.linspace(a, b)\n",
    "Iy = func(Ix)\n",
    "verts = [(a, 0)] + list(zip(Ix, Iy)) + [(b, 0)]\n",
    "poly = Polygon(verts, facecolor='0.7', edgecolor='0.5')\n",
    "ax.add_patch(poly)\n",
    "\n",
    "plt.text(0.5 * (a + b), 1, r\"$\\int_a^b f(x)\\mathrm{d}x$\",\n",
    "         horizontalalignment='center', fontsize=20)\n",
    "\n",
    "plt.figtext(0.9, 0.075, '$x$')\n",
    "plt.figtext(0.075, 0.9, '$f(x)$')\n",
    "\n",
    "ax.set_xticks((a, b))\n",
    "ax.set_xticklabels(('$a$', '$b$'))\n",
    "ax.set_yticks([func(a), func(b)])\n",
    "ax.set_yticklabels(('$f(a)$', '$f(b)$'))\n",
    "plt.grid(True)\n",
    "# tag: matplotlib_math\n",
    "# title: Exponential function, integral area and Latex labels\n",
    "# size: 60"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Financial Plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "uuid": "e6364d22-c102-4a31-8bf1-35edbc5bbaae"
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import cufflinks as cf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<script>requirejs.config({paths: { 'plotly': ['https://cdn.plot.ly/plotly-latest.min']},});if(!window.Plotly) {{require(['plotly'],function(plotly) {window.Plotly=plotly;});}}</script>"
      ],
      "text/vnd.plotly.v1+html": [
       "<script>requirejs.config({paths: { 'plotly': ['https://cdn.plot.ly/plotly-latest.min']},});if(!window.Plotly) {{require(['plotly'],function(plotly) {window.Plotly=plotly;});}}</script>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from plotly.offline import download_plotlyjs, init_notebook_mode, plot, iplot\n",
    "init_notebook_mode(connected=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['Time', 'OpenBid', 'HighBid', 'LowBid', 'CloseBid', 'OpenAsk',\n",
       "       'HighAsk', 'LowAsk', 'CloseAsk', 'TotalTicks'],\n",
       "      dtype='object')"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# data from FXCM Forex Capital Markets Ltd.\n",
    "raw = pd.read_csv('source/fxcm_eur_usd_eod_data.csv',\n",
    "                 index_col=0, parse_dates=True)\n",
    "raw.columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "quotes = raw[['OpenAsk', 'HighAsk', 'LowAsk', 'CloseAsk']]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "uuid": "01b01686-d054-4518-aea8-d249c883ffa2"
   },
   "outputs": [],
   "source": [
    "qf = cf.QuantFig(quotes.iloc[-100:], title='EUR/USD', legend='top',\n",
    "                 name='EUR/USD', datalegend=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "uuid": "1b0d2b42-2091-4a6b-98d9-cb12ffa5d2a3"
   },
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\"2017-02-07\", \"2017-02-08\", \"2017-02-09\", \"2017-02-11\", \"2017-02-12\", \"2017-02-13\", \"2017-02-14\", \"2017-02-15\", \"2017-02-16\", \"2017-02-18\", \"2017-02-19\", \"2017-02-20\", \"2017-02-21\", \"2017-02-22\", \"2017-02-23\", \"2017-02-25\", \"2017-02-26\", \"2017-02-27\", \"2017-02-28\", \"2017-03-01\", \"2017-03-02\", \"2017-03-04\", \"2017-03-05\", \"2017-03-06\", \"2017-03-07\", \"2017-03-08\", \"2017-03-09\", \"2017-03-11\", \"2017-03-12\", \"2017-03-13\", \"2017-03-14\", \"2017-03-15\", \"2017-03-16\", \"2017-03-18\", \"2017-03-19\", \"2017-03-20\", \"2017-03-21\", \"2017-03-22\", \"2017-03-23\", \"2017-03-25\", \"2017-03-26\", \"2017-03-27\", \"2017-03-28\", \"2017-03-29\", \"2017-03-30\", \"2017-04-01\", \"2017-04-02\", \"2017-04-03\", \"2017-04-04\", \"2017-04-05\", \"2017-04-06\", \"2017-04-08\", \"2017-04-09\", \"2017-04-10\", \"2017-04-11\", \"2017-04-12\", \"2017-04-13\", \"2017-04-15\", \"2017-04-16\", \"2017-04-17\", \"2017-04-18\", \"2017-04-19\", \"2017-04-20\", \"2017-04-22\", \"2017-04-23\", \"2017-04-24\", \"2017-04-25\", \"2017-04-26\", \"2017-04-27\", \"2017-04-29\", \"2017-04-30\", \"2017-05-01\", \"2017-05-02\", \"2017-05-03\", \"2017-05-04\", \"2017-05-06\", \"2017-05-07\", \"2017-05-08\", \"2017-05-09\", \"2017-05-10\", \"2017-05-11\", \"2017-05-13\", \"2017-05-14\", \"2017-05-15\", \"2017-05-16\", \"2017-05-17\", \"2017-05-18\", \"2017-05-20\", \"2017-05-21\", \"2017-05-22\", \"2017-05-23\", \"2017-05-24\", \"2017-05-25\", \"2017-05-27\", \"2017-05-28\", \"2017-05-29\", \"2017-05-30\", \"2017-05-31\"], \"name\": \"EUR/USD\", \"increasing\": {\"line\": {\"color\": \"#17BECF\"}, \"showlegend\": false}, \"decreasing\": {\"line\": {\"color\": \"#808080\"}, \"showlegend\": false}, \"yaxis\": \"y2\"}], {\"legend\": {\"bgcolor\": \"#F5F6F9\", \"font\": {\"color\": \"#4D5663\"}, \"orientation\": \"h\", \"yanchor\": \"bottom\", \"x\": 0.3, \"y\": 0.95}, \"paper_bgcolor\": \"#F5F6F9\", \"plot_bgcolor\": \"#F5F6F9\", \"xaxis1\": {\"tickfont\": {\"color\": \"#4D5663\"}, \"gridcolor\": \"#E1E5ED\", \"titlefont\": {\"color\": \"#4D5663\"}, \"zerolinecolor\": \"#E1E5ED\", \"showgrid\": true, \"title\": \"\", \"rangeselector\": {\"bgcolor\": \"rgba(150, 200, 250, 1)\", \"x\": 0, \"y\": 0.9, \"visible\": false, \"font\": {\"size\": 13}, \"buttons\": [{\"count\": 1, \"label\": \"1m\", \"step\": \"month\", \"stepmode\": \"backward\"}, {\"count\": 1, \"label\": \"1y\", \"step\": \"year\", \"stepmode\": \"backward\"}]}, \"rangeslider\": {\"visible\": false}, \"anchor\": \"y2\"}, \"titlefont\": {\"color\": \"#4D5663\"}, \"yaxis2\": {\"tickfont\": {\"color\": \"#4D5663\"}, \"gridcolor\": \"#E1E5ED\", \"titlefont\": {\"color\": \"#4D5663\"}, \"zerolinecolor\": \"#E1E5ED\", \"showgrid\": true, \"title\": \"\", \"domain\": [0.0, 0.9]}, \"title\": \"EUR/USD\", \"margin\": {\"t\": 30, \"b\": 30, \"r\": 30, \"l\": 30}, \"showlegend\": true, \"shapes\": []}, {\"showLink\": true, \"linkText\": \"Export to plot.ly\"})});</script>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "iplot(qf.iplot(asFigure=True))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3d Plotting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "uuid": "a9064b7f-1ffc-497d-bcf0-5fe681e2e9ff"
   },
   "outputs": [],
   "source": [
    "strike = np.linspace(50, 150, 24)\n",
    "ttm = np.linspace(0.5, 2.5, 24)\n",
    "strike, ttm = np.meshgrid(strike, ttm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "uuid": "0a5797f5-0445-4bdc-8e11-5d88690a3b8a"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[  50.        ,   54.34782609,   58.69565217,   63.04347826,\n",
       "          67.39130435,   71.73913043,   76.08695652,   80.43478261,\n",
       "          84.7826087 ,   89.13043478,   93.47826087,   97.82608696,\n",
       "         102.17391304,  106.52173913,  110.86956522,  115.2173913 ,\n",
       "         119.56521739,  123.91304348,  128.26086957,  132.60869565,\n",
       "         136.95652174,  141.30434783,  145.65217391,  150.        ],\n",
       "       [  50.        ,   54.34782609,   58.69565217,   63.04347826,\n",
       "          67.39130435,   71.73913043,   76.08695652,   80.43478261,\n",
       "          84.7826087 ,   89.13043478,   93.47826087,   97.82608696,\n",
       "         102.17391304,  106.52173913,  110.86956522,  115.2173913 ,\n",
       "         119.56521739,  123.91304348,  128.26086957,  132.60869565,\n",
       "         136.95652174,  141.30434783,  145.65217391,  150.        ]])"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "strike[:2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "uuid": "b9c92f57-c819-4df4-bc68-a71e0065dfdc"
   },
   "outputs": [],
   "source": [
    "iv = (strike - 100) ** 2 / (100 * strike) / ttm\n",
    "  # generate fake implied volatilities"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "uuid": "f8557d99-cba4-4ab8-9594-ac8050801dce"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x1140aab70>"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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CH+ViYvXXx8TEJJlMpVhSOr3CxMREzXM+8pEP8ZrXvI6XvvQVLCwscPXVb+Cf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\nIYQNkgAXQgghbJAEuBBCCGGD/g8//l6Gv9xCjAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1140151d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "\n",
    "fig = plt.figure(figsize=(9, 6))\n",
    "ax = fig.gca(projection='3d')\n",
    "\n",
    "surf = ax.plot_surface(strike, ttm, iv, rstride=2, cstride=2,\n",
    "                       cmap=plt.cm.coolwarm, linewidth=0.5,\n",
    "                       antialiased=True)\n",
    "\n",
    "ax.set_xlabel('strike')\n",
    "ax.set_ylabel('time-to-maturity')\n",
    "ax.set_zlabel('implied volatility')\n",
    "\n",
    "fig.colorbar(surf, shrink=0.5, aspect=5)\n",
    "# tag: matplotlib_17\n",
    "# title: 3d surface plot for (fake) implied volatilities\n",
    "# size: 70"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "uuid": "d6126afb-1ead-4859-9b01-813c80c5c3dc"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,0,'implied volatility')"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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JRDE0NIitWzdDlmVHwmxra0cyaZVRJBKjaGtrs73n7//+f+CDH3wAd911DwYH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\ndRqPy98lE9OePR5Ll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mnTikLOf/LoPjqSC3s0GsPnM2nfvg2PPgoPPeQ22+VKRfLAA35A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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11149c208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(8, 5))\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "ax.view_init(30, 60)\n",
    "\n",
    "ax.scatter(strike, ttm, iv, zdir='z', s=25,\n",
    "           c='b', marker='^')\n",
    "\n",
    "ax.set_xlabel('strike')\n",
    "ax.set_ylabel('time-to-maturity')\n",
    "ax.set_zlabel('implied volatility')\n",
    "\n",
    "# tag: matplotlib_18\n",
    "# title: 3d scatter plot for (fake) implied volatilities\n",
    "# size: 70"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Further Reading"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>\n",
    "\n",
    "<a href=\"http://tpq.io\" target=\"_blank\">http://tpq.io</a> | <a href=\"http://twitter.com/dyjh\" target=\"_blank\">@dyjh</a> | <a href=\"mailto:training@tpq.io\">training@tpq.io</a>\n",
    "\n",
    "**Quant Platform** |\n",
    "<a href=\"http://quant-platform.com\">http://quant-platform.com</a>\n",
    "\n",
    "**Python for Finance** |\n",
    "<a href=\"http://python-for-finance.com\" target=\"_blank\">Python for Finance @ O'Reilly</a>\n",
    "\n",
    "**Derivatives Analytics with Python** |\n",
    "<a href=\"http://derivatives-analytics-with-python.com\" target=\"_blank\">Derivatives Analytics @ Wiley Finance</a>\n",
    "\n",
    "**Listed Volatility and Variance Derivatives** |\n",
    "<a href=\"http://lvvd.tpq.io\" target=\"_blank\">Listed VV Derivatives @ Wiley Finance</a>\n",
    "\n",
    "**Python Training** |\n",
    "<a href=\"http://training.tpq.io\" target=\"_blank\">Python for Finance University Certificate</a>"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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